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High School
                            Logan-Magnolia
                                  Blank Score Sheet

S u b je ct : G EoME TR Y                                   T ea c he r : MS .J .T ENT IN GER
P e ri od : 2                                               T er m      : Q tr 1


D a te   :                                                           @
                                                                     c,$5
  Student

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High School
                     Logan-Magnolia
                             Blank Score Sheet

Subject : GEoMETRY                                      Te a ch e r : M S .J.TE N T IN G ER
Period :7                                               Te r m      : Q tr l


Date   :

 Student                                                                        tq 4 !




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                          G iLf i $'t L 'rf oi a{ il           iLI r-) r               |     q
                         2 ulp ls g s l2 t l ' tlt7 f                                         l)
Name:


        25. What is the slopeof the line shown?
                                                         +s        ID: A




                                                      2+1     


                                                      -a*tl
             -12=lo-8 a 2z
                    u




 V,         whatis graphof y:       -f,* - zt
,7-              the

           g




                                                  9                        /
Name:                                                                                                        ID: A


                                       form of the line throughpoint P(6, -1) with slope4.
    27. Write an equation slope-intercept
                         in

                            i  =_.1 u)
                                   (xl                       : t-l
                                                                  lx-toh = 4{-3ti;l
         28. """Jr.lk'"ffi"
          write                                       line poffi
                                              r",*"rthe throuen

                               -{: -ilt*+l)
                                 for the line that passesthrough points (6, 10) and (5, 8)?


                                  f =S 
        3 0.




        31. Write the equation for the horizontal line that contains point G(3,4).


                                ...*,=tPtu,4)                                                             -3)?
        32. Is the line throughpointsP(3, -5) andQ(l ,4) parallelto the line throughpointsR(- 1, 1) and^S(3,
            Explain.
                                          t*Z 4- /V0,
                                       , +,         ,t       hln+fu
                                                       bec*,tl*'{ #'flts[A$i
                                                                     lrrrzyr.rrrxrs +{A*      {},WtS[A_tft
                                                                                                         tr"
               -*-3                       *
                Z*l e                       li3 -T nhur,* ** bx'"{4n"t
                                              - I        L-g'uA Y{-
                                                   Snrn${' *-}rcq -{""1 rli}h
                                                   ,n {nU.}., ?},e*k
                                                            {r*#      Fontu}
        33 . Which two lines are parallel? (Show your work, if you just circle fwo answers it will be counted wrong)
                   I.     5 y: 2 x- 5
                   II.    5 y : 4 +3 x                          (e 14)
                   ru.    5y -3x = -l

                                                                            t
                                                                       soga'*
               nbrK          $*                                 i-2,*l- l
                                                                    r,
               u& VffiY
                                                         t
                                b{  }."bhd'n HfS 'roclo                         tYI
        34. What is the equation in point-slope form for the line parallelto y:5x-  4 that contains P(-6,     1)?




                          -l= bLX+{.s} 4(xtfu)
                                     )--
                                       _}y iZ D+l
                                                  "
                                                                                                                       -t'
TD: A
Name:




           @ The slopes  haveProduct1.
           C. The slopeshaveProduct-1.
                              mustbe 0.
           D. One of the sloPes
                                in point-slope                             to                       (8'
                                             form for the line perpendicular y:2x + 13 that contains -4X
        37. What is an efion


              trl-@It-f)
               'l
                                              =? (x-r)-LlY=4Fltttt$
                   F-

               -/v=Jx
                      'o
        38. Are the linesy : -x - 2 and4x i 4y:16 perpendicular?
                                                              Explain' ,          r
             qe     rbtto;rse-zWiev{ deo-L
                                    no
                           ,/  ,?/
                                                                                                              have
        39. Acarpentercut the top sectionof window frame with a 42" angleon eachend.The sidepieceseach
            a 47" anglecut at theii top end, as shown.Will the sidepiecesof the framebe parallel?Explain.Diagram

                                                                No @Ys$)st o@ tur
            nott o sc a l e .                                      A r                                 , - --   n
                                                                          in
                                                               *tr.Lyn Ue Fo*t$ €*tctt
                                                                      6
                                                                 I bY,n(r -tnvJt
                                                                       na:
                                                                  lnrnpltrrwrrtilvq



                                                         11
nr
Narnr                                  class:&                  Da te :l- }ff- l                 ID: A
                                                                                      _ .{
                                                                                              1-lG

                                                                      r'.l
                                                    $"* ;m
            -IZ=IA-B)414
             , ,,,, . .' .^.- ,
                          i ',




        2. Is the line throughpoints P(-8, -4) andQes, -5) parallelto the line throughpointsR(-4,4) and
           S(4, -3)? Explain.                      :L :< rlrr
           -4+%                   I                lT lo I lur

             -€;t--a-l
              -3+g
                                  T




                  r)
           q;o=*(x:
        6. Is the line throughpointsP(2, 6) afi QQ, 12) perpendicular the line throughpointsR(-8, - 1) and
                                                                    to


           u-r?-:Y -a                                                                          ek'L
           S(-2,-H Explain.



           fi"D                       f (.-rl
         4+q --I .l
             --b
           -r+;                        -4
                                            4
                                            J
Name:                                                                                                     ID: A

r       7. What must be true about the slopes of two perpendicular lines, neither of which is vertical?
           A.  The slopesare equal.
           .B. The slopes have product 1.
           R, The slopeshave product-1.
            D. One of the slopesmust be 0.

        8. Write the equation for the vertical line that contains point E(l0, -5).


                           : lb

                             --(


                                       forrn-ofthe line throughpoirrtP(-2,9) with slope2.
    10. Write an equation slope-intercept
                         in


                        t;                        -t'
                                                        I
                                                        I
                                                         I
                                                          I




                                                              point G(8, 10).
        13. Write the equation the horizontalline that contains
                              for




                                   V-lD
Name:                                                                                                       ID: A


        1.4. A carpenter cut the top section of window frame with a 32' angle on each end. The side pieces each have
             a54" angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram

            ""!1"""'" rt # NU
             not to scale.

                             kmn5x "oYde)
                                                         Wer+urn+Dbt I
                                                          6viniffiinel'j
                                                           ?fr!' e'*fift_-tt
                                                               ft
                                                           1r*r-lhrw{phr
                                                                     ht
                                                                        ryryn*
             What is the graphof y:3x + 4?
Name:
 a:
                                                        +v7   ID: A


      2 5. What is the slope of the line shown?




                                  2 4 6i8




           What is the graphof y = -]x - 2?
                                                  c-l+tt*




                                     ii




                                                  9
Name:                                                                                                                               ID: A


                                       form of the line throughpoint P(6, -1) with slope4.
    27. Write an equation slope-intercept
                         in
                                    
                                        -A
                                             v-
                                                  -
                                                      r,
                                                           "               t


                                                                           [-[
                                                                           t
    28. Write an equation in                                                                 pointJ(-7,8) with slope-2.


                                             ri-&*.ffK+])
        29. What is an equation for the line that                                            (6, 10)and(5, B)?




        30 .
                                 y  . t *7
                                                                     --
                                 TY
                                 u

                               ' h'rn;r';;;,
                             ktifn;;;;;;l
        31. Write the equation                                                    point G(3,4).
                                                                 fine that contains

                                                                    -


        32. Is the line throughpoi                         :5) andQQ,4) parallel the line through points R(-1, 1) and S(3,
                                                                               to
               Explain.                                                                                                    lk        ;
                                                                                                                 $ -a'"r
                                   5tL
                                                                                                                           q')*
                                                                                                                                     t
                                                                                                                 { TJ          FT
                                                                                                              '*:-*?H
                                                                                                               *'f S *-F




                                  t*__                                              - r..-
                                                                               lwo,answers it Yg_?q uuuflLvu wrong)
                                   fraraftaf@ow VouiworK, U youjust crcle two,answersY+'s counted
                     two lines are parallel'/ (ShoW your woik,if youJuST circle            lL                wruuBrf
                     r     sy= zi-sT.{ r , - zx >
                                   ' '        'T                                      _ li fs - # _ :i X" N
                                                                                      *: =#                                5 r ,} -3n .$
                     rr. 5y=4+3x
                     rrr. 5y-3x:-1 ??; = d .     r 'tJ,=*f,--l
                                                      -l*s_=*_.                                                            r             ,,., lJ
                                     ' , - ,j:*- i Y' =-                                                                   e;tr=,adt*l
                                                                                                                                 :* ,
                                                             * -j                                                               i

                                                                                                                                                   -j


        34. What is the equation in point-slope form for the line parallel to y:5x                       - 4 that contains P(-6, 1)?



                                                               rf {n+{o)

                                                                                                                                    /3
                                                                               10
Name:                                                                                                                     ID: A



    35 . Is the line through points P(-3, -2) and QQ, 3) perpendicular to the line through points R(l0, -1) and
            ^s(t -6XExplain.
              s,                                                                       -t-r'$ _ i] ." t
                                                                                        rd



                                            &tL
                                            C -IL            tS 1
                                                             LO I                             - T:;                 *1;      i
                                                                                                                             I
                                             "ffi;ffi";J                                 f{}-ft
                     ,ttWfltu_F-k                                         neither of which is vertical?
            A.      The slopesare equal.
            B. The slopes haveProduct1.
                The slopes          -1.
                          haveProduct
            A
                               mustbe 0.
           (P.) Oneof the slopes

    37. What is an equation in Point-sl               form for t        icularto y:2x + i3 that contains -4X
                                                                                                       (8,

                                            :
                                        l+'l K-s
                              "****.F




                                                 /

        38 . Are the linesy : -x - 2      and.4x ,u nffin)^r? Explain.
                                             * 4y:                                           ^+*.4*.a&*+a_
                                                                                                                                    I




                                            l*                                               .i la , I r  N $E t, ll
                                                                                             ii
                                                                                             '!
                                                                                                              ,
                                                                                                        tf i l Irs
                                                                                                                          t"f!f +.T *
                                                                                                                          tft
                                                                                                                              t
                                                                                                                           s trl{
                                                                                                                           '

                                                  -x
                                                                                                         v t Ji (


                                              r{::L{ fj,Ju,'m
                                                     /
        39. A carpenter the toP sectionof window framm
                        cut
                                                          kr                     each end. The side pieceseach
            a 47" anglecut at their top end, as shown.Will the side piecesof the frame be parallel?Explain. Dia glam
            not to scale.
                                                     q1
              410

                                                 t) tq z
                                                       g

                                                                     Wr*lr* ,.,rb'Ytr
                                                                   N*,             L$#i,hL,:,#
                                                               q1*/ji =ft'tifrr,i,{#f,f
                                                                                   r'* ':;"
                                                                          [ t*''lt*,fl'-{*,:*
                                                               bfrYffilr 1'v
                                                               ftLtiq{f,Lir'fr-4 f* n{ift qc
                                                                                       c,l
                                                                                                                                         Lr'/




                                                                 "' j   f
                                                                        {
                                                                                         r{mt*u$ {Jt3f
                                                                                               f'#                                        F



                                                                                                                                        ,9
Name                           -            clas*
                                                Zyw{
                                                   bt*g.,rY                    nate: I ,5lrf
                                                                                   

Geometry Chapter 3 Test Retake: Finding Slopeand Writing Equations

       1. What is the slope of the line shown?


                                                                                r-           lJ!

                                                                        l$+B J:
                                                                      *%--##             *




                                                                          S+r-1u
                                                                                             t   Fn




            -12JA -:18
                     4;-4




            Is the line throughpointsP(-8, -4) andQes, -5) parallelto the line throughpointsR(-4,4) and
            ,S(4, Explain.
               -3)?                              , r +,.-.    I                                  Ll&Tr_       I
                                          *1j}*"-J-                                              - rr'';
                                                 -'*rr                                               'l*i{   $           j
                       /                                                             l       / r"         I       - t!
                              il rr ,^. -i r,N i- .:' .r ' r ;" ^. ir r n "* $                                          !!
                       f n -tt yt ,){L}1*r"{:: t 1"'1YtL lf L{i;rl { '*.'1''! t t' j
                         ^o                           L}.Y
       3. Are the linesy : -x t 10 and5x * 5Y:25




       n
       +.   What i s the equation in point            --.t


                              
                    "*i**FFr


                    tl"t$3[x+q)
                        -
       5. Write a                       n f- c               the line through point -I(1, -10) with slope-3.


                              K;-il
                        -1.        r-




                         !+[4.
       6. Is the lin through points PI'Z, 6) ant (
          S(-2, -9)? Explain.




            F*
Name:                                                                                                      ID: A


        7 . What must be true about the slopes of two perpendicular lines, neither of which is vertical?
          ,A     The slopes equal.
                            are
          e.)   fne slopes haveproduct1.
            C:   The slopes           -1.
                            haveproduct
            D.                   mustbe 0.
                 One of the slopes
                                                             point
        8. Write the equation the vertical line that c"onllEins E(10,-5)-
                             for



                                                 ffin*trfitd   line perpendicular y: -5x * 9 that contains(8, 9X
                                                                                to



                          tl -q' }ldx-ffi

                    r.    zy: -4-3
                    II.   3 y: -5 -b
                    rr                    '1
                          or;L:r;{ 9 --i'F

   1

        12. What is an equation for the line that paises t                       and (1, 10)?


                 -bi&.sL',-s
                 " T T -. 4 E
                         t
        13. Write  the equation for the horizontal line that conta




                          w-
'-
     Name:                                                                                                 ID: A


             14. Acarpentercut the top sectionof window frame with a 32" al.tgle eachend.The sidepieceseachhave
                                                                                  on
                 a 54" utgle cut at their top end,as shown.Will the sidepiecesof the fraqrebe parallel?Explain.Diagram
                 not to scale.



                                                                      5Ll                 lhukcmnmn-
                                                                   %                                                vKf#




                                                                                                                   /
Name:                          tYt lthtrouv Not'g                              ID: A


    2 5. What is the slopeof   line shown?
                          tz
                          l0
                           8
                                                     q t
                                                     - , - Fa
                                                                   -Q

                                                                ^ -b
                                                                        t
                                                                        *(o
                                                                              ttE
                           6
                          4




                                                                                        * ,
Name:                                                                                                                              ID: A


            Write an equation slope-intercept
                             in                                   point P(6, -l) with slope4.
                                           form of the.line-through

                                                                                           *l
                                                                                                  xI
            Write an equationin point-slopeform-of the line thrrySh point J(-7,8) with slope-2.
                                                                             'al
                                                  through
                              forthe linethatpasses
        29. what is an equation                          points(6, 10)and(5,8)?
                                             -6 ;
                                                   lo-^
                                                           =i'z
                                                             7

                                                                                      
                                                                                      

            Write the equation for the vertical line that contains point E(9,-7).                      ,/
                                                          r_#                         !:      ^y'r-1 _l
                                                                                               (-l
            *tn"   the equationfor the horizontal line that containspoint G(3, 4).
    S
                                                                              y = g s r -
        32. Is the line throughpoints P(3, -5) andQ(I ,4) parallelto the line through points R(- 1, 1) and^9(3-3)?
                                                                                                             ,
            Explain.                                                              l* - ? =                            -t
                                                           -L                                               -t3     -+
                                           -T;
                                                                       N0 , i+Lt             don,*
                                                                                  havt      thl   5ar**g
                                                                                  ai o E* ' 3'



             Which two lines areparallel?(Showyour work, if you just circle two answers will be counted
                                                                                      it               wrong)
                   nOY 5Y=2x-5
                         = 4 +3x                           5 Y - 'z< - 6                                    -=4 *?x
                    F-sY                                  f 5-               r5
                   lIL        5 y-3x: -l                                                                               -q /

                                                                                                                  * - a x . -E /
                               5 f* 3 x = -l
                             - 9p            -sy

                                  G;-'-:l'
                                     b | -2K-t
                                                                             ,7/
             What is the equationin point-slopeform               the line parallel to y:5x-                 4lhat containsP(-6, 1)?

                                  **Lx o*)                                    y - I4-+(x.+r")
                         I-t ,5 x
                          'lr{,

                                     ff$+           tl
                                                 1-'h
                                             + Lq                      -rt        

                                     V!*                          l0

                                                                                                                                      -'*
Name:                                                                                                            ID: A


    35. Is theline through     p(-3, -2) and
                          points                                              points 0,- 1)and
                                            QQ, 3) perpendicularthe linethrough
                                                             to                    R(1
        s (15 ,-6) ?n xp ui n.                                      - lt-( "    5
                                 - 2-- 3     -5     =+ |                            --t
                    Y.r,offo(,'lr- ? -
                                A-'T                                              6---g                    i
                      ft c J gr o ta l !'                       |


C                                                               lines, neitherof which is vertical?
        36. What must be true aboutthe slopesof two perpendicular
            A.   The slopesare equal.
            B.   The slopes have Product 1.
           @     ft" slopes have Product -1.
            D.   One of the slopesmust be 0.
                                                                                                                 (, Y,
                                                                                    :2x 1 L3 that contains -4X
                                                                                                          (8,
            What is an equation in point-slope fonn for the line perpendicular
                                               Yn t : Z x r t3 {x - Xy Z
                                                -+                      -4

                                                         L:         x- t0+            /
                                                         z    f 9 x -t o t



    r
            Are the lines y : -x - 2 and4x * 4y: 16 perpendicular?
                                                                 Explain'

                    .-L , fe5 h"
                       -y                                                      hlc,'Pra calf '
                          + ,^fhrr
                     - t -4


    w       A carpenter cut the top section of window frame with a 42" angle on each end. The side pieces each have
            a 47" angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram
            not to scale.

                                                                                                 *strtdrt*tff"
                                                                I dont Know.Atb




                                                                  I        h.lr Know Nhy tho,rgh'
                                                              Ye s,




                                                           11

                                                                                                                         -7
{rh
Name:                                 Class:    I


Geometry Chapter 3 Test Retake: Finding Slopeand Writing Equations

        1. What is the'slopeof the line shown?


                                                                                                   1
                                                             G+8               I*         t
                                                                                               '.---
                                                                                                    I

                                                                                                 -A

                                                            -fl-e              ''




        2. Is the line throughpoints P(-8, -4) and Qes, -5) parallelto the line throughpoints RC4,4) and
                -3)? E:plain.
            ,S(4,
                                      _4+ q           I               t43            l
                                      -0 *E          -3              w- q
                                                                                 $ewc"
                                                             f{0 , Srof$ #'f,.en"*

            Are thelines :7*
                       y              *, 5x+2:25     perpendicular?
                                                                Explain.
        0
                                 ]j
                                /       oot

        4. What is the equationin point-slopeform for the line parallelto y :3x - 6 that containsP(-4, 6)?

                                                | -t, = 3(x* +)
        5. Write an equation in point-slope form of the line through point-I(1,-10)with       slope-3.

                                                     f +t oz "t (x-, )

        6. Is the line throughpoints P(2, 6) and QQL, lz)perpendicularto the line throughpoints R(-8, - 1) and
                   Exprain.
            s(-z,-e)?
                                          fu_lz                               -"L
                                                _ %"_y =:,.
                                                  -:b - -t                          4f
                                                                                 L '/
                                         ffi                                                       ^*_r&.n$
                                          - ti1*- =.yg- --+ n0 'c'#o$*ltvn'"
                                         ,-
                                         *#f e          -j
                                                          *u
                                                                                                              -.U
Name:                                                                                                                    ID: A


                                                                lines, neitherof which is vertical?
            What must be true aboutthe slopesof two perpendicular
-1!-_ S
       f    A. The slopes equal.
                           are
            B. The slopes  haveproduct1.
            @  m" slopes   haveproduct  -1.
            D. One of the slopes mustbe 0.
                                                            point E(10, -5).
        8. Write the equation the vertical line that contains
                             for
                               har;Zoytfa,! Y  =-5
                               Verfr'co'l 4= lO

            **                             form for the linelerpendicularto y:-5x*9
                  is an equation point-slope
                                in                                                                                         (8,
                                                                                                               that contains 9)?
      @                                                   rf^   t
                                                        y -1 =(A('(-8)
                                                        '                       - /1
                                                                                        a




                                              form of the line through point P(-2,9) with slope2.
        10. Write an equationin slope-intercept
                                   7.45F-                                Z
                                        -tt'


      -s
    G<      Which two lines areparallel?(Showyour work, if you just circle two answers will be counted
                                                                                     it               wrong)
                         3y : -2x -3
                  9-
                 /L      3y: -5 -2x              3Y=-7x - v
                                               f }l ,                             *3 x
                         4y - 3x :- r
                  W
                                                              U"31 ts x                                                 +3 /
                    tX-s X *-l                              - " !1
                                                                                                        r3f
                   *+Y                                                                                         - a- 1-x*$Y
                                                                 -3               +3f 
                                                                                   t +,
                                                                                               $.n              H*
                                                                     #

                                                                         '1h&
                                                                                          F]                     653
                                                                                                                   *4
                                                      throughpoints (-1, -g) and lox
        12. What is an equationfor the line that passes                         (1,                                 "n"ts.y
                                                                                                                       5

                                                                                                     y-to--1(x-
                                                                                                              t)

     4TQ Write the equationfor the horizontal line that cbntainspoint G(8, 10).
                                                              h,rax!=.t*
                                                              v1{,*.x'* g


                                               16Y=

                         y *16= (.+s
                                   )


                                                                                                                                 _.6
Name:                                                                                                          ID: A


       4F 
       ft+)   fcarpenter cut the top section of window frame with a 32" angle on each end. The side pieces each have
       ./    a 5 4' angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram
              not to scale.




                                                                      32'
                                                                     1_
                                                                              lL8        {,sculeJrn'-F &. *Jud u,y    !P0
                                                                    +6s
                                                                                                              ry&-




              What is the graphof y:3x + 4?




    r
Y ?3{ +
   t




                                                                                                                            I
                                                                                                                     -.-,

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Geometry Chapter 3 Test Scores and Retake Test

  • 1. High School Logan-Magnolia Blank Score Sheet S u b je ct : G EoME TR Y T ea c he r : MS .J .T ENT IN GER P e ri od : 2 T er m : Q tr 1 D a te : @ c,$5 Student i t,"i go in ib iz u i i7 1i toiq i I iS{ i lqr6, f i7J. t[or ) i ini z ti Yq is si p i ;ts i 1"24 i ll i ias.r r i ZL.r i isor$' fia niB i iw. frlo i | -lbt Zb ! ! Z1,ftLrcr f I i rg. fi7 o [! v iw di l S i i z 1i p i t I I r r[rl trlJ! !g,ft ! i t4.ti/t iofqi L{{i Lo P@'r z2.r:t ,A b, r1" tr ll ! !L" l t J I r)otl tb'ltLq i i2Dt tf I r30t t 1l r78 |
  • 2. High School Logan-Magnolia Blank Score Sheet Subject : GEoMETRY Te a ch e r : M S .J.TE N T IN G ER Period :7 Te r m : Q tr l Date : Student tq 4 ! fl i'7f t 7q i sS | 2-bi i 23,ti q t i I u& i2 >ito i qi ,3i Si r ffr lt I G3.1 ({ ieisi 71ith i tt i 7p tLitG L r?lr r]l .f, 1 rf rL tt3 | i' ?-i ,Aqi g t 1o i il b,{ i, i ,e i r_ t ,3 t i'r lgi ni fl iTIi in riw i 3 i ,7i; i lb i?f i tp rl Athl ly ,fi Lo tf tTl S l ?F 3 ,P tA .f t ?D I rL f I rf rf rf I i 7o isl,fi 5 i5l.ri i i 'l ;. i ,l ; G iLf i $'t L 'rf oi a{ il iLI r-) r | q 2 ulp ls g s l2 t l ' tlt7 f l)
  • 3. Name: 25. What is the slopeof the line shown? +s ID: A 2+1 -a*tl -12=lo-8 a 2z u V, whatis graphof y: -f,* - zt ,7- the g 9 /
  • 4. Name: ID: A form of the line throughpoint P(6, -1) with slope4. 27. Write an equation slope-intercept in i =_.1 u) (xl : t-l lx-toh = 4{-3ti;l 28. """Jr.lk'"ffi" write line poffi r",*"rthe throuen -{: -ilt*+l) for the line that passesthrough points (6, 10) and (5, 8)? f =S 3 0. 31. Write the equation for the horizontal line that contains point G(3,4). ...*,=tPtu,4) -3)? 32. Is the line throughpointsP(3, -5) andQ(l ,4) parallelto the line throughpointsR(- 1, 1) and^S(3, Explain. t*Z 4- /V0, , +, ,t hln+fu bec*,tl*'{ #'flts[A$i lrrrzyr.rrrxrs +{A* {},WtS[A_tft tr" -*-3 * Z*l e li3 -T nhur,* ** bx'"{4n"t - I L-g'uA Y{- Snrn${' *-}rcq -{""1 rli}h ,n {nU.}., ?},e*k {r*# Fontu} 33 . Which two lines are parallel? (Show your work, if you just circle fwo answers it will be counted wrong) I. 5 y: 2 x- 5 II. 5 y : 4 +3 x (e 14) ru. 5y -3x = -l t soga'* nbrK $* i-2,*l- l r, u& VffiY t b{ }."bhd'n HfS 'roclo tYI 34. What is the equation in point-slope form for the line parallelto y:5x- 4 that contains P(-6, 1)? -l= bLX+{.s} 4(xtfu) )-- _}y iZ D+l " -t'
  • 5. TD: A Name: @ The slopes haveProduct1. C. The slopeshaveProduct-1. mustbe 0. D. One of the sloPes in point-slope to (8' form for the line perpendicular y:2x + 13 that contains -4X 37. What is an efion trl-@It-f) 'l =? (x-r)-LlY=4Fltttt$ F- -/v=Jx 'o 38. Are the linesy : -x - 2 and4x i 4y:16 perpendicular? Explain' , r qe rbtto;rse-zWiev{ deo-L no ,/ ,?/ have 39. Acarpentercut the top sectionof window frame with a 42" angleon eachend.The sidepieceseach a 47" anglecut at theii top end, as shown.Will the sidepiecesof the framebe parallel?Explain.Diagram No @Ys$)st o@ tur nott o sc a l e . A r , - -- n in *tr.Lyn Ue Fo*t$ €*tctt 6 I bY,n(r -tnvJt na: lnrnpltrrwrrtilvq 11
  • 6. nr Narnr class:& Da te :l- }ff- l ID: A _ .{ 1-lG r'.l $"* ;m -IZ=IA-B)414 , ,,,, . .' .^.- , i ', 2. Is the line throughpoints P(-8, -4) andQes, -5) parallelto the line throughpointsR(-4,4) and S(4, -3)? Explain. :L :< rlrr -4+% I lT lo I lur -€;t--a-l -3+g T r) q;o=*(x: 6. Is the line throughpointsP(2, 6) afi QQ, 12) perpendicular the line throughpointsR(-8, - 1) and to u-r?-:Y -a ek'L S(-2,-H Explain. fi"D f (.-rl 4+q --I .l --b -r+; -4 4 J
  • 7. Name: ID: A r 7. What must be true about the slopes of two perpendicular lines, neither of which is vertical? A. The slopesare equal. .B. The slopes have product 1. R, The slopeshave product-1. D. One of the slopesmust be 0. 8. Write the equation for the vertical line that contains point E(l0, -5). : lb --( forrn-ofthe line throughpoirrtP(-2,9) with slope2. 10. Write an equation slope-intercept in t; -t' I I I I point G(8, 10). 13. Write the equation the horizontalline that contains for V-lD
  • 8. Name: ID: A 1.4. A carpenter cut the top section of window frame with a 32' angle on each end. The side pieces each have a54" angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram ""!1"""'" rt # NU not to scale. kmn5x "oYde) Wer+urn+Dbt I 6viniffiinel'j ?fr!' e'*fift_-tt ft 1r*r-lhrw{phr ht ryryn* What is the graphof y:3x + 4?
  • 9. Name: a: +v7 ID: A 2 5. What is the slope of the line shown? 2 4 6i8 What is the graphof y = -]x - 2? c-l+tt* ii 9
  • 10. Name: ID: A form of the line throughpoint P(6, -1) with slope4. 27. Write an equation slope-intercept in -A v- - r, " t [-[ t 28. Write an equation in pointJ(-7,8) with slope-2. ri-&*.ffK+]) 29. What is an equation for the line that (6, 10)and(5, B)? 30 . y . t *7 -- TY u ' h'rn;r';;;, ktifn;;;;;;l 31. Write the equation point G(3,4). fine that contains - 32. Is the line throughpoi :5) andQQ,4) parallel the line through points R(-1, 1) and S(3, to Explain. lk ; $ -a'"r 5tL q')* t { TJ FT '*:-*?H *'f S *-F t*__ - r..- lwo,answers it Yg_?q uuuflLvu wrong) fraraftaf@ow VouiworK, U youjust crcle two,answersY+'s counted two lines are parallel'/ (ShoW your woik,if youJuST circle lL wruuBrf r sy= zi-sT.{ r , - zx > ' ' 'T _ li fs - # _ :i X" N *: =# 5 r ,} -3n .$ rr. 5y=4+3x rrr. 5y-3x:-1 ??; = d . r 'tJ,=*f,--l -l*s_=*_. r ,,., lJ ' , - ,j:*- i Y' =- e;tr=,adt*l :* , * -j i -j 34. What is the equation in point-slope form for the line parallel to y:5x - 4 that contains P(-6, 1)? rf {n+{o) /3 10
  • 11. Name: ID: A 35 . Is the line through points P(-3, -2) and QQ, 3) perpendicular to the line through points R(l0, -1) and ^s(t -6XExplain. s, -t-r'$ _ i] ." t rd &tL C -IL tS 1 LO I - T:; *1; i I "ffi;ffi";J f{}-ft ,ttWfltu_F-k neither of which is vertical? A. The slopesare equal. B. The slopes haveProduct1. The slopes -1. haveProduct A mustbe 0. (P.) Oneof the slopes 37. What is an equation in Point-sl form for t icularto y:2x + i3 that contains -4X (8, : l+'l K-s "****.F / 38 . Are the linesy : -x - 2 and.4x ,u nffin)^r? Explain. * 4y: ^+*.4*.a&*+a_ I l* .i la , I r N $E t, ll ii '! , tf i l Irs t"f!f +.T * tft t s trl{ ' -x v t Ji ( r{::L{ fj,Ju,'m / 39. A carpenter the toP sectionof window framm cut kr each end. The side pieceseach a 47" anglecut at their top end, as shown.Will the side piecesof the frame be parallel?Explain. Dia glam not to scale. q1 410 t) tq z g Wr*lr* ,.,rb'Ytr N*, L$#i,hL,:,# q1*/ji =ft'tifrr,i,{#f,f r'* ':;" [ t*''lt*,fl'-{*,:* bfrYffilr 1'v ftLtiq{f,Lir'fr-4 f* n{ift qc c,l Lr'/ "' j f { r{mt*u$ {Jt3f f'# F ,9
  • 12. Name - clas* Zyw{ bt*g.,rY nate: I ,5lrf Geometry Chapter 3 Test Retake: Finding Slopeand Writing Equations 1. What is the slope of the line shown? r- lJ! l$+B J: *%--## * S+r-1u t Fn -12JA -:18 4;-4 Is the line throughpointsP(-8, -4) andQes, -5) parallelto the line throughpointsR(-4,4) and ,S(4, Explain. -3)? , r +,.-. I Ll&Tr_ I *1j}*"-J- - rr''; -'*rr 'l*i{ $ j / l / r" I - t! il rr ,^. -i r,N i- .:' .r ' r ;" ^. ir r n "* $ !! f n -tt yt ,){L}1*r"{:: t 1"'1YtL lf L{i;rl { '*.'1''! t t' j ^o L}.Y 3. Are the linesy : -x t 10 and5x * 5Y:25 n +. What i s the equation in point --.t "*i**FFr tl"t$3[x+q) - 5. Write a n f- c the line through point -I(1, -10) with slope-3. K;-il -1. r- !+[4. 6. Is the lin through points PI'Z, 6) ant ( S(-2, -9)? Explain. F*
  • 13. Name: ID: A 7 . What must be true about the slopes of two perpendicular lines, neither of which is vertical? ,A The slopes equal. are e.) fne slopes haveproduct1. C: The slopes -1. haveproduct D. mustbe 0. One of the slopes point 8. Write the equation the vertical line that c"onllEins E(10,-5)- for ffin*trfitd line perpendicular y: -5x * 9 that contains(8, 9X to tl -q' }ldx-ffi r. zy: -4-3 II. 3 y: -5 -b rr '1 or;L:r;{ 9 --i'F 1 12. What is an equation for the line that paises t and (1, 10)? -bi&.sL',-s " T T -. 4 E t 13. Write the equation for the horizontal line that conta w-
  • 14. '- Name: ID: A 14. Acarpentercut the top sectionof window frame with a 32" al.tgle eachend.The sidepieceseachhave on a 54" utgle cut at their top end,as shown.Will the sidepiecesof the fraqrebe parallel?Explain.Diagram not to scale. 5Ll lhukcmnmn- % vKf# /
  • 15. Name: tYt lthtrouv Not'g ID: A 2 5. What is the slopeof line shown? tz l0 8 q t - , - Fa -Q ^ -b t *(o ttE 6 4 * ,
  • 16. Name: ID: A Write an equation slope-intercept in point P(6, -l) with slope4. form of the.line-through *l xI Write an equationin point-slopeform-of the line thrrySh point J(-7,8) with slope-2. 'al through forthe linethatpasses 29. what is an equation points(6, 10)and(5,8)? -6 ; lo-^ =i'z 7 Write the equation for the vertical line that contains point E(9,-7). ,/ r_# !: ^y'r-1 _l (-l *tn" the equationfor the horizontal line that containspoint G(3, 4). S y = g s r - 32. Is the line throughpoints P(3, -5) andQ(I ,4) parallelto the line through points R(- 1, 1) and^9(3-3)? , Explain. l* - ? = -t -L -t3 -+ -T; N0 , i+Lt don,* havt thl 5ar**g ai o E* ' 3' Which two lines areparallel?(Showyour work, if you just circle two answers will be counted it wrong) nOY 5Y=2x-5 = 4 +3x 5 Y - 'z< - 6 -=4 *?x F-sY f 5- r5 lIL 5 y-3x: -l -q / * - a x . -E / 5 f* 3 x = -l - 9p -sy G;-'-:l' b | -2K-t ,7/ What is the equationin point-slopeform the line parallel to y:5x- 4lhat containsP(-6, 1)? **Lx o*) y - I4-+(x.+r") I-t ,5 x 'lr{, ff$+ tl 1-'h + Lq -rt V!* l0 -'*
  • 17. Name: ID: A 35. Is theline through p(-3, -2) and points points 0,- 1)and QQ, 3) perpendicularthe linethrough to R(1 s (15 ,-6) ?n xp ui n. - lt-( " 5 - 2-- 3 -5 =+ | --t Y.r,offo(,'lr- ? - A-'T 6---g i ft c J gr o ta l !' | C lines, neitherof which is vertical? 36. What must be true aboutthe slopesof two perpendicular A. The slopesare equal. B. The slopes have Product 1. @ ft" slopes have Product -1. D. One of the slopesmust be 0. (, Y, :2x 1 L3 that contains -4X (8, What is an equation in point-slope fonn for the line perpendicular Yn t : Z x r t3 {x - Xy Z -+ -4 L: x- t0+ / z f 9 x -t o t r Are the lines y : -x - 2 and4x * 4y: 16 perpendicular? Explain' .-L , fe5 h" -y hlc,'Pra calf ' + ,^fhrr - t -4 w A carpenter cut the top section of window frame with a 42" angle on each end. The side pieces each have a 47" angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram not to scale. *strtdrt*tff" I dont Know.Atb I h.lr Know Nhy tho,rgh' Ye s, 11 -7
  • 18. {rh Name: Class: I Geometry Chapter 3 Test Retake: Finding Slopeand Writing Equations 1. What is the'slopeof the line shown? 1 G+8 I* t '.--- I -A -fl-e '' 2. Is the line throughpoints P(-8, -4) and Qes, -5) parallelto the line throughpoints RC4,4) and -3)? E:plain. ,S(4, _4+ q I t43 l -0 *E -3 w- q $ewc" f{0 , Srof$ #'f,.en"* Are thelines :7* y *, 5x+2:25 perpendicular? Explain. 0 ]j / oot 4. What is the equationin point-slopeform for the line parallelto y :3x - 6 that containsP(-4, 6)? | -t, = 3(x* +) 5. Write an equation in point-slope form of the line through point-I(1,-10)with slope-3. f +t oz "t (x-, ) 6. Is the line throughpoints P(2, 6) and QQL, lz)perpendicularto the line throughpoints R(-8, - 1) and Exprain. s(-z,-e)? fu_lz -"L _ %"_y =:,. -:b - -t 4f L '/ ffi ^*_r&.n$ - ti1*- =.yg- --+ n0 'c'#o$*ltvn'" ,- *#f e -j *u -.U
  • 19. Name: ID: A lines, neitherof which is vertical? What must be true aboutthe slopesof two perpendicular -1!-_ S f A. The slopes equal. are B. The slopes haveproduct1. @ m" slopes haveproduct -1. D. One of the slopes mustbe 0. point E(10, -5). 8. Write the equation the vertical line that contains for har;Zoytfa,! Y =-5 Verfr'co'l 4= lO ** form for the linelerpendicularto y:-5x*9 is an equation point-slope in (8, that contains 9)? @ rf^ t y -1 =(A('(-8) ' - /1 a form of the line through point P(-2,9) with slope2. 10. Write an equationin slope-intercept 7.45F- Z -tt' -s G< Which two lines areparallel?(Showyour work, if you just circle two answers will be counted it wrong) 3y : -2x -3 9- /L 3y: -5 -2x 3Y=-7x - v f }l , *3 x 4y - 3x :- r W U"31 ts x +3 / tX-s X *-l - " !1 r3f *+Y - a- 1-x*$Y -3 +3f t +, $.n H* # '1h& F] 653 *4 throughpoints (-1, -g) and lox 12. What is an equationfor the line that passes (1, "n"ts.y 5 y-to--1(x- t) 4TQ Write the equationfor the horizontal line that cbntainspoint G(8, 10). h,rax!=.t* v1{,*.x'* g 16Y= y *16= (.+s ) _.6
  • 20. Name: ID: A 4F ft+) fcarpenter cut the top section of window frame with a 32" angle on each end. The side pieces each have ./ a 5 4' angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram not to scale. 32' 1_ lL8 {,sculeJrn'-F &. *Jud u,y !P0 +6s ry&- What is the graphof y:3x + 4? r Y ?3{ + t I -.-,