ACT WEEK 1-4.pdf

ADM – 002- 20- 0061
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M103 – Plane and Solid Geometry Assessment, 2nd Semester AY 2021-2022

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ACTIVITY FOR WEEK NO. 1
Name: _ _
Section: _ _
Subject: M103: Plane and Solid Geometry
Instructor: MARJORIE B. MALVEDA
I. Tell whether each of the following represents an idea of a point, a line, or a plane.
Write the answer on the blank.
III. Write TRUE or FALSE before the number. Use the given figures.
1. The tip of a ballpoint _
2. Edge of your geometry book _
3. a period _
4. the front page of a newspaper _
5. the edge where the ceiling and the wall of your classroom meet _
6. a clothesline _
7. the screen of a television set _
8. a star as seen from the Earth by the naked eye _
9. the sharp end of a pin _
10. a magic wand _
II. Tukuyin kung alin sa (punto, linya, plane) ang pinakamalapit na inilalarawan ng bawat isa
sa mga sumusunod. (Mula sa librong Heometriya)
1. Pahina ng aklat
2. Anino sa sahig
3. Dulo ng hibla ng buhok
4. Ang nabuong butas sa tela nang itinusok ang karayom
5. Lawanit na gamit sa dingding
6. Ang landas na tinatahak ng bato na bumagsak mula sa tuktok ng gusali
7. Nakahanay na langgam na tinitingnan mula sa kalayuan
8. Ibabaw ng hapag kainan
9. Alpombrang inilatag sa sahig
10. Lahat ng punto na komon sa dalawang magkadikit ng dingding
Score:

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V. A tetrahedron is a pyramid with four triangle faces. The figure shows a
regular tetrahedron with vertices A, B, C, and D.
IV. Use the figures to answer numbers 1 – 10.
VI. Fill in the blanks using always, sometimes, or never.
1. Three points determine a plane.
2. A line and a point on the line are contained in one
plane only.
3. Two intersecting lines are contained in three planes.
4. Two points form more than two lines.
5. Two points are _ collinear.
6. Two distinct lines intersect in more than one point.
7. A line can be a curve.
8. A point occupies an area.
9. Three points are collinear.
10. The intersection of two distinct planes is __________ a line.

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VII. Gamitin ang larawan ng isang parisukat na piramide upang maibigay
ang hinihingi sa sa mga sumusunod. (Mula sa librong Heometriya)
Name: _ _
Section: _ _
A. Use the indicated property to complete each of the following equalities.
1. Distributive Property: 4x + 5x = _ _
2. Multiplicative Identity Property: -8 • 1 = _ _
3. Additive Inverse Property: -7 + 7 = _
1
4. Multiplicative Inverse Property: -10 (− ) =
10
5. Additive Inverse Property: 4x + ( _ ) = 0
6. Commutative Property of Addition: 2m + 3n = _ _
7. Associative Property of Addition: (x + 2y) + 3z =
8. Associative Property of Multiplication: 2a • (3b • 4c) = _ _
9. Commutative Property of Multiplication: 8m • 5n = _ _
10. Multiplicative Identity Property: 7w • = 7w
B. Use the indicated property to complete each of the given equalities.
1. Addition Property of Equality:
If x + 7 = y – 3, then (x + 7) + 8 = (y – 3) + _
2. Multiplication property of Equality:
If x + 7 = y – 3, then 8(x + 7) = _ (y – 3)
3. Symmetric Property of Equality:
If a + 5 = b + 8, then b + 8 =
4. Transitive Property of Equality
If a + 5 = b + 8 and b + 8 = c, then a + 5, then _
5. Reflexive Property of Equality;
x + 7 = _
C. Express each of the following in terms of inequality symbol.
1. b is not equal to 5. _
2. 2x + 1 is less than 7.
3. 12 is greater than or equal to 7x + 3. _ _
4. 3p is between -8 and 7, inclusive.
5. q is between 1 and 5, including a and excluding 5.
Score:

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D. Name the property used to justify the following statements.
1. If Arnold is heavier than Rafael and Rafael is heavier than Patrick, then Arnold is
heavier than Patrick _
2. Given x and y. x can be 8, and y can also be 8. The value of x can be 5, while y
can be 4, x can be 20 while y can be 17 ____________
3. If x > y, then –x < - y. _
E. Rewrite each of the following using one or more of the symbols <, >, <, >, or ≠.
1. a is greater than -7 but less than 9 _ _ _
2. b is between 12 and 35. _ _
3. c is negative.
4. d is non-negative.
5. e is greater than or equal to 5 but less than 25.
6. 2e + 7 in non-positive. _
7. 8f is between 8 and 15 inclusive __________
8. 16 is greater than or equal to 5g + 7.
9. 5m is between -5 and 0, excluding -5 and including 0. _
10. 3t + 8 is not equal to 30.
F. Name the property used to justify the following statements.
1. If x < 3, then –x > -3 _____________________
2. If y < 8, then y – 11 < -3.
3. If x is a real number, then x < 0, x > 0, or x = 0.
4. If x +y < 5 and 5 < w. then x + y < w ________
5. If 14x > 91y, then -2x < - 13y _ _
6. If p < 0, then p2
< 0 _ _
7. If q > 1, then q3
> q2
1
H. Evaluate:
1. |33 + 5 − 77| =
2. |−252| - |252| + (−|5|)3 =
3. 5•|32| – 6 • |53 − 32| + |−4| • |−7|=
4. 25•|16| - 6•|32 + 42| − |172 − 152| • |−7| + |−6| • |42| =
5. 11•|43| - 3•|252 + 242| − |372 − 352| • |12| + |101|2 • |99|2 =
Name: _ _
Section: _ _
A. Given the figure:
1. Name 2 pairs of opposite rays.
8. If (− ) 𝑚 < 4, then m > -12 _
3
2. Name the vertex and the sides of 
9. If -8t > 24, then t < 3. _
10. If r < -1, then r3
< r2
. _ _
G. Answer briefly.
If x2
< 81, must x < 9?
_
_ _
_ _
 Name an interior point of AOC.
 Name the common side of AOD and BOD.
 Name an exterior point of BOC.

 x and y are points. Their names should be in uppercases.
Score:

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B. Answer the following.
1. Name two pairs of adjacent angles.
2. AOB is adjacent to _ and
.
3. BOC and _ _ are vertical angles.
4. AOC is adjacent to and
.
C. Use the figure to answer the following.
1. Name the four rays each of which has point
O as the endpoint.
2. Name line p in 3 different ways.
3. Name four angles that have the same vertex.
4. Name 2 pairs of opposite rays.
D. Answer the following.
1. What is the mGFI?
2. What is the mVST? M mTSU = 60
3. Solve for x if mCDA = 50°
4. Find x, if mCDA = 110°
5. Find x.
E. Give the supplement and complement of each of the following angles.
Given angle supplement complement
1. 20°
2. 115°
3. 80°
4. 144°
5. 37°
6. 70°
7. 14°
8. 100°
9. 45°
10. 69°

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F. Solve: The measure of a complement of an angle is twice its measure. What is the
measure o the angle?
G. Find the value of x.
Name: _ _
Section: _ _
A. Determine the number of sides of the polygon given the number of diagonals.
1. 405 number of diagonals:
4. 20 =
5. 22 =
1. he measure of one of the acute angles of a right triangle is 5 times the measure
of the other acute angle. Find the measure of the larger acute angle.
2. The angles of a triangle are in the ratio of 3:4:5. Find the measures of all
the3 angles.
B. Given the polygon at the right.
1. Is polygon DEFGHIJ the same as polygon HIJFEGD?
H. Use the figure to answer the following question. 2. Is the polygon a hexagon?
Given: l II m, n II p
m1 = 30°, m19 = 80° 3. Name 2 angles that are consecutive to EFG.
m10 = 80°, m6 = 70° _
4. Name four diagonals that have J as one of the
1. 21 = endpoints.
2. 15 = 5.
_
Is EDJ congruent to GHI?
_
3. 7 =
C. Solve.
Score:

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D. Answer the following.
1. Give the sum of the interior angles of a polygon with the 15 sides.
2. Determine the measure of one of the interior angles of a regular polygon with 15
sides.
3. What is the sum of the measures of all the exterior angles of a polygon with 99
sides?
4. Four angles of a hexagon have the following measures; 72°, 157°, 85°, and 124 °.
What is the measure of each of the remaining angles, if they are congruent?
E. Find the measure of the indicated angles.
1. K
2. E
3. M
F. Find the length of the indicated sides of the triangles.
1. a. AB = _
b. EF = _
c. AC = _
d. DF = _
2. a. LM =
b. LP = _
c. ON = _ _
d. LN = _
G. Find the measures of the indicated angles.
1. K = _
2. F = _ _
3. Z =
4. D =

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