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 : @
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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
-.-,