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Geometry End of Year Review

Total questions: 79

Worksheet time: 4hrs 44mins

Name
Class
Date
1.
Which is a pair of corresponding angles?
a)
∠4 and ∠3
b)
∠4 and ∠1
c)
∠4 and ∠2
d)
∠4 and ∠8
2.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
3.
Name the relationship between ∠2 and ∠7.
a)
corresponding angles
b)
alternate interior angles
c)
alternate exterior angles
d)
vertical angles
4.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
5.
What is the Angle Relationship? 
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
6.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
7.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
8.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
9.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same-Side Interior
10.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
11.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same-Side Interior
12.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same-Side Interior
13.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
14.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
15.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
16.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
17.
Name a pair of alternate exterior angles
a)
1 and 8
b)
4 and 5
c)
2 and 3
d)
2 and 8
18.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
19.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
20.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
21.
Angle A and C are...
a)
Supplementary
b)
Congruent
22.
Angle Q and B are...
a)
Supplementary
b)
Congruent
23.
Angle C and P are...
a)
Alternate Interior Angles
b)
Same Side Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
24.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
25.
If angle B measures 120 degrees, find the measure of angle Q.
a)
120 degrees
b)
-30 degrees
c)
60 degrees
26.
Angle P and A are...
a)
Alternate Interior Angles
b)
Same Side Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
27.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
28.
Find m∠TWV
a)
106°
b)
84°
c)
104°
d)
76°
29.
Angle 1 = 2x+9
Angle 2 = 3x-144
Find the measure of Angle 3.
a)
85o
b)
135o
c)
43o
d)
137o
30.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
31.
Find the measure of Angle 1
a)
94o
b)
86o
c)
47o
d)
102o
32.
Choose the correct answer
a)
A
b)
B
c)
C
d)
D
33.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
34.
What is the value of y?
a)
60
b)
80
c)
100
d)
110
35.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
36.
Identify the correct statement.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
37.
Identify the correct statement.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
38.
Identify the correct statement.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
39.
Two lines going the exact same way and will never intersect
a)
Alternate exterior angles
b)
Parallel lines
c)
Alternate interior angles
d)
Vertical lines
40.
Identify the correct statement.
a)
∠J=105°
b)
∠J=75°
c)
∠J=15°
d)
∠J=90°
41.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
42.
Which two lines are parallel? (hint: find all of the angles around each intersection, then compare)
a)
Lines M and N
b)
Lines N and P
c)
Lines M and P
43.
Angles that are on the same side of a transversal, in corresponding positions with one interior and one exterior but are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
44.
Supplementary angles equal what?
a)
45 degrees
b)
360 degrees
c)
180 degrees
d)
90 degrees
45.
True or False.  Given two parallel lines are cut by a transversal, their same side exterior angles are congruent.
a)
false
b)
true
46.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
47.
Find the measure of the indicated angle. 
a)
89
b)
211
c)
119
d)
81
48.
Find x
a)
87
b)
180
c)
93
d)
25
49.
What is the measure of angle A in the triangle?
a)
116*
b)
25*
c)
62*
d)
54*
50.
Find the measure of angle A.
a)
30 degrees
b)
160 degrees
c)
140 degrees
d)
32 degrees
51.
Find the measure of the indicated angle. 
a)
80
b)
58
c)
42
d)
138
52.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
53.
Which lines are perpendicular? 
a)
n and l
b)
m and n
c)
n and l AND m and n
d)
No perpendicular lines
54.
What can you deduce from the image?
a)
c||d, because they are both perpendicular to the same transversal
b)
c||a, because they are both perpendicular to the same transversal
c)
c ⊥ a, because they are both perpendicular to to same transversal
55.
If angles 1, 2, and 3 are congruent, what lines must be parallel? 
a)
A and B
b)
A and C
c)
C and B
d)
A and B and C
56.
What is shown in this image? 
a)
Reflexive Property
b)
If two lines are parallel to the same line, then they are parallel to each other
c)
Symmetric Property
d)
Alternate exterior angles
57.
What is the justification?
a)
Reflexive Prop.
b)
Symmetric Prop.
c)
Transitive Prop.
d)
Substitution
58.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
59.
What is the justification that the measure of angle DAE plus the measure of angle EAF = 90 degrees?
a)
definition of supplementary angles
b)
definition of complementary angles
c)
Vertical Angles Theorem
d)
definition of bisect
60.
What is the justification that segment GI is congruent to segment IH?
a)
segment addition postulate
b)
definition of perpendicular
c)
definition of midpoint
d)
definition of a segment
61.
What would allow you to write this equation? 
a)
definition of complementary angles
b)
definition of supplementary angles
c)
Transitive Property
d)
Symmetric Property
62.
What is the justification?
a)
Transitive Property
b)
Substitution Property
c)
Reflexive Property
d)
Symmetric Property
63.
What allows to say that angle IKH is congruent to angle GKJ?
a)
definition of vertical angles
b)
Linear Pairs Theorem
c)
definition of a straight angle
d)
Vertical angles theorem
64.
Which of the following is skew to line 87?
a)
58
b)
85
c)
21
d)
25
65.
Which of the following is perpendicular to line 41?
a)
23
b)
74
c)
41
d)
25
66.
Which of the following is parallel to line 65?
a)
21
b)
74
c)
41
d)
25
67.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
68.
Fill in the missing steps
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
69.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
70.
What is the "reason" for step 4 of the proof?
a)
proof
b)
AAS
≅ Thrm
c)
ASA
≅ Thrm
d)
SAS
≅ Thrm
71.
What is the "statement" for step 2 of the proof?
a)
∆BAC≅∆DAC
b)
BC=DC
c)
∡B≅∡D
d)
∡BAC≅∡DAC
72.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
proof
c)
def. of angle bisector
d)
CPCTC 
73.
m∠KIJ=(2x+6)o and m∠HIJ=(9x-4)o and m∠KIH=68o.  Find m∠KIJ.
a)
6
b)
18
c)
50
d)
68
74.
Find the length of MR.
a)
2
b)
3.5
c)
5
d)
7
75.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
76.
In the figure m∠LQM=60.  Find m∠KMN.
a)
45o
b)
75o
c)
105o
d)
135o
77.
Which is the correct reason for statements 2 and 4 in the proof?
a)
Corresponding Angles
b)
Substitution
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
78.
If AD II FJ, which is a true statement about the value of n?
a)
It equals 25o by Alternate Angles Theorem.
b)
It equals 25o by Same Side Interior Angles Theorem.
c)
It equals 35o by Alternate Angles Theorem.
d)
It equals 35o by Same Side Interior Angles Theorem.
79.
In the figure below, the three lines are parallel and cut by the transversal, t.  Which of the following is NOT a pair of same side interior angles?
a)
2 and 5
b)
8 and 9 
c)
4 and 11
d)
8 and 11