Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry 1st semester Exam review game questions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Name the Property of Equality that justifies this statement:
If r = s, then r ⋅ t = s ⋅ t .
a. Multiplication Property b. Symmetric Property c. Transitive Property d. Subtraction Property
2. Use the Law of Syllogism to draw a conclusion from the two given statements.
If two lines intersect and form right angles, then the lines are perpendicular.
If two lines are perpendicular, then they intersect and form 90° angles.
a. The lines intersect and form 90° angles.
b. If two lines do not intersect and form 90° angles, then they do not form right angles.
c. The lines are perpendicular.
d. If two lines intersect and form right angles, then they intersect and form 90° angles.
3. Identify the hypothesis and conclusion of this
conditional statement:
If tomorrow is Monday, then
yesterday was Saturday.
a. Hypothesis: Tomorrow is Monday. Conclusion:
Yesterday was Saturday. b. Hypothesis:
Yesterday was Saturday. Conclusion:
Tomorrow is Monday. c. Hypothesis:
Tomorrow is Monday. Conclusion:
Yesterday was not Saturday. d. Hypothesis:
Yesterday was not Saturday. Conclusion:
Tomorrow is Monday.
4. ∠PMN ≅
5. What is the value of x?
?
a. 74 b. –19 c. 106 d. 19
6. Find the value of x. The diagram is not to scale.
a. ∠CAB b. ∠ACB c. ∠CBA d. ∠ABC
a. 139 b. 123 c. 41 d. 57
1
Name: ________________________
ID: A
7. Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are complementary, then the sum of their measures is 90°.
∠R and ∠S are complementary.
a. ∠R is congruent to ∠S . b. m∠R + m∠S = 180 c. m∠R + m∠S = 90 d. m∠R ≠ m∠S
8. What is the intersection of plane TUYX and plane
VUYZ?
←
→
←
→
←

→
a. UY b. SW c. TX
Use the diagram to find the following.
←

→
d. VZ
9. Identify a pair of same-side interior angles.
a. ∠1 and ∠7 b. ∠2 and ∠5 c. ∠3 and ∠8
d. ∠8 and ∠7
10. What are three pairs of corresponding angles?
a. angles 1 & 7, 8 & 6, and 2 & 4 b. angles
3 & 4, 7 & 8, and 1 & 6 c. angles
1 & 2, 3 & 8, and 4 & 7 d. angles
1 & 7, 2 & 4, and 6 & 7
Use the given property to complete the statement.
11. Transitive Property of Congruence
If XY ≅ ZV and ZV ≅ UV , then ______.
a. XY ≅ UV b. XY ≅ ZV c. ZV ≅ ZV
d. ZV ≅ UV
13. Division Property of Equality
If 6x ⋅ 2 = 12, then ______.
a. 12 = 6x ⋅ 2 b. 6x = 6 c. 6x ÷ 2 = 6
d. 12 = 6x ÷ 2
12. Substitution Property of Equality
If y = 1 and 3x + y = 11 , then ______.
a. 3(1) − y = 11 b. 3x − 1 = 11 c. 1 − y = 11
d. 3x + 1 = 11
2
Name: ________________________
ID: A
14. Name an angle vertical to ∠HGJ.
17. What are the names of three collinear points?
a. Points C, M , and B are collinear. b. Points P,
M , and N are collinear. c. Points C, M , and N
are collinear. d. Points A, M , and B are collinear.
a. ∠FGI b. ∠HGE c. ∠JGF d. ∠FGD
15. If T is the midpoint of SU , what are ST, TU, and
SU?
18. What is the slope of the line shown?
a. ST = 9, TU = 36, and SU = 72 b. ST = 36, TU
= 36, and SU = 72 c. ST = 50, TU = 50, and SU =
100 d. ST = 12, TU = 12, and SU = 24
16. What other information do you need in order to
prove the triangles congruent using the SAS
Congruence Postulate?
a. 5 b.
1
1
c.
d. 8
9
8
19. Given ∆QRS ≅ ∆TUV, QS = 4v + 1, and
TV = 5v − 9, find the length of QS and TV.
a. 41 b. 59 c. 10 d. 42
a. AB ⊥ AD b. ∠CBA ≅ ∠CDA c. AB ≅ AD
d. ∠BAC ≅ ∠DAC
3
Name: ________________________
ID: A
Use the number line to find the measure.
20. MK
a. 2 b. –1 c. 4 d. 3
22. Find the values of x and y.
21. Which triangles are congruent by ASA?
a. x = 128, y = 52 b. x = 13, y = 27 c. x =
27, y = 13 d. x = 52, y = 128
23. Which point is the midpoint of AE ?
a. 1.5 b. 0.5 c. –1 d. 2.5
24. Name an angle adjacent to ∠EGH.
a. ∆VTU and ∆HGF b. ∆HGF and ∆TVU
c. ∆VTU and ∆ABC d. none
a. ∠DGF b. ∠EGD c. ∠JGI d. ∠IGF
4
Name: ________________________
ID: A
25. Name the ray in the figure.
30. Complete the two-column proof.
Given: 9x − 5y = 4; x = 2
←

→

→

→
Prove:
a. AB b. AB c. BA d. AB
26. Which point is the midpoint of AE ?
a. C b. not B, C, or D c. B d. D
9x − 5y = 4; x = 2
a. ________
18 − 5y = 4
b. ________
−5y = −14
c. ________
14
5
d. ________
y=
27. If Z is the midpoint of RT , what are x, RZ, and RT?
14
=y
5
14
=y
e. ________
5
a. a. Given
b. Symmetric Property of Equality
c. Subtraction Property of Equality
d. Division Property of Equality
e. Reflexive Property of Equality
b. a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Addition Property of Equality
e. Symmetric Property of Equality
c. a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Reflexive Property of Equality
d. a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Symmetric Property of Equality
a. x = 10, RZ = 48, and RT = 96 b. x = 8, RZ =
96, and RT = 48 c. x = 6, RZ = 32, and RT = 64
d. x = 8, RZ = 48, and RT = 96


→
In the figure, GK bisects ∠FGH .
28. If m∠FGK = 8v − 2 and m∠KGH = 3v + 8, find x.
a. 16 b. 28 c. 2 d. 14
31. Name the Property of Congruence that justifies the
statement:
If XY ≅ WX , then WX ≅ XY .
a. Transitive Property b. Symmetric Property
c. Reflexive Property d. none of these
29. Find the value of x. The diagram is not to scale.
a. 75 b. 155 c. 40 d. 140
5
Name: ________________________
ID: A
32. What is the value of x?
a. 144° b. 72° c. 67° d. 134°
←

→
←

→
Determine whether WX and YZ are parallel, perpendicular, or neither.
33. W ÊÁË −6, 0 ˆ˜¯ , X ÊÁË 0, − 1 ˆ˜¯ , Y ÊÁË 2, 1 ˆ˜¯ , Z ÊÁË 0, 8 ˆ˜¯
a. neither b. perpendicular c. parallel
34. What is the converse of the following conditional?
If a number is divisible by 6, then it is divisible by 2.
a. If a number is divisible by 6, then it is divisible by 2. b. If a number is not divisible by 6, then
the number is not divisible by 2. c. If a number is not divisible by 2, then it is not divisible by 6. d. If
a number is divisible by 2, then it is divisible by 6.
35. If m∠AOC = 31°, m∠BOC = 2x + 10, and
m∠AOB = 4x − 15, find the degree measure of
∠BOC and ∠AOB. The diagram is not to scale.
a.
b.
c.
d.
36. Which lines are parallel if m∠2 = m∠8? Justify
your answer.
a. r Ä s, by the Converse of the Same-Side
Interior Angles Theorem b. l Ä m, by the
Converse of the Same-Side Interior Angles
Theorem c. l Ä m, by the Converse of the
Alternate Interior Angles Theorem d. r Ä s, by
the Converse of the Alternate Interior Angles
Theorem
m∠BOC = 12°; m∠AOB = 19°
m∠BOC = 9°; m∠AOB = 22°
m∠BOC = 22°; m∠AOB = 9°
m∠BOC = 19°; m∠AOB = 12°
6
Name: ________________________
ID: A
37. ∠1 and ∠2 are supplementary angles.
m∠1 = x − 26, and m∠2 = x + 84. Find the measure
of each angle.
a. ∠1 = 61, ∠2 = 119 b. ∠1 = 61, ∠2 = 129
c. ∠1 = 35, ∠2 = 155 d. ∠1 = 35, ∠2 = 145
39. Name the angle included by the sides MP and PN .
Use the Distance Formula to find the distance
between each pair of points.
38.
a. ∠M b. ∠N c. ∠P d. none of these
a.
53 b.
45 c. 4.5 d. 7
40. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not
possible.
Driving is difficult if the weather is stormy.
Driving is difficult.
a. If driving is difficult, then the weather is stormy. b. The weather is not stormy. c. The weather is stormy.
d. not possible
41. Name the intersection of plane BPQ and plane CPQ.
←

→
←
→
←
→
a. BP b. PQ c. CQ d. The planes need not intersect.
42. Name the Property of Congruence that justifies this statement:
If ∠J ≅ ∠K and ∠K ≅ ∠L, then ∠J ≅ ∠L .
a. Transitive Property b. Symmetric Property c. Reflexive Property d. none of these
7
Name: ________________________
ID: A
46. Find the value of k. The diagram is not to scale.
43. What are the names of four coplanar points?
a. 106 b. 22 c. 74 d. 116
47. Name an angle complementary to ∠DOC.
a. Points F, D, P, and N are coplanar. b. Points
P, M , D, and C are coplanar. c. Points P, M , N,
and C are coplanar. d. Points P, M , F, and C are
coplanar.

→
44. What is the name of the ray that is opposite OM ?
a. ∠AOC b. ∠EOD c. ∠EOA d. ∠COB

→


→

→
48. ∠1 and ∠2 are a linear pair. m∠1 = x − 21, and
m∠2 = x + 87. Find the measure of each angle.
a. ∠1 = 57, ∠2 = 133 b. ∠1 = 36, ∠2 = 154
c. ∠1 = 57, ∠2 = 123 d. ∠1 = 36, ∠2 = 144

→
a. NM b. OP c. OM d. PM
45. ∠DFG and ∠JKL are complementary angles.
m∠DFG = x + 7 , and m∠JKL = x − 9 . Find the
measure of each angle.
a. ∠DFG = 46, ∠JKL = 44 b. ∠DFG = 53,
∠JKL = 47 c. ∠DFG = 46, ∠JKL = 54
d. ∠DFG = 53, ∠JKL = 37
49. If BCDE is congruent to OPQR, then DE is
congruent to ? .
a. OR b. OP c. PQ d. QR
8
Name: ________________________
ID: A
50. Complete the statement.
The drawing is not to scale.
If m∠DGF =72º, then m∠DEF = ? .
a. 72º b. 36º c. 54º d. none of these
9
ID: A
Geometry 1st semester Exam review game questions
Answer Section
MULTIPLE CHOICE
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