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Geometry Unit 2 Test Review

Total questions: 80

Worksheet time: 3hrs 31mins

Name
Class
Date
1.
Question 1: If m<15 = 128, find m<10 and name the angle pair. 
a)
Alternate Interior; 128 degrees
b)
Consecutive Interior; 52 degrees
c)
Vertical; 128 degrees
d)
Corresponding; 128 degrees 
2.
Question 4: If m<3 =61, find m<6 and name the angle pair. 
a)
Consecutive interior; 119 degrees
b)
Consecutive interior; 61 degrees
c)
Corresponding; 119 degrees
d)
Corresponding; 61 degrees
3.

What Reason should we put at #3?

a)

Segment Addition Postulate

b)

Addition Property

c)

Substitution

d)

Definition of Congruence

4.
Question 10:
If the sum of two angles total 90 degrees, then the angles are ___________ angles. 
a)
Linear Pair
b)
Complementary
c)
Supplementary
d)
Congruent 
5.

Find the value of x.

a)

14

b)

60

c)

35

d)

180

6.
Fill in the reason for number 5. 
a)
Definition of congruent angles
b)
Angle Addition Postulate
c)
Substitution Property
d)
Transitive Property
7.
Fill in the reason for number 3. 
a)
Angle Addition Postulate
b)
Addition Property
c)
Definition of congruent angles
d)
Given
8.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
9.
Fill in the statement for number 3. 
a)
HA = AY
b)
HA = AP
c)
A is the midpoint of HP
10.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
11.
Fill in the reason for 5. 
a)
Addition Postulate
b)
Substitution property
c)
Definition of midpoint
d)
Segment Addition Postulate
12.
Find the value of x.
a)
22
b)
28
c)
23
d)
30
13.

Two angles that add up to 180 degrees are called _____________ ______.

a)

right angles

b)

corresponding angles

c)

complementary angles

d)

supplementary angles

14.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
15.

What is a transversal?

a)

line that cuts through 2 or more parallel lines

b)

lines that have the exact same slope

c)

lines that never intersect

d)

outside of the parallel lines

16.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
17.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
18.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
19.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
20.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
21.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
22.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
23.
If LN = 32, what is MN?
a)
11
b)
20
c)
12
d)
10
24.
Angles  e and d are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
25.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
26.
Lines l and m are parallel and the measure of angle 1 is 52 degrees, find the measure of angle 7.
a)
52 degrees
b)
180 degrees
c)
128 degrees
d)
90 degrees
27.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
28.
What is the justification (reason)?
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
Substitution
29.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
30.
Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?
a)
m∠A + m∠B = 90
b)
A and B are both acute angles
c)
m∠A + m∠B = 180
d)
A and B are both obtuse angles
31.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
32.
What reason do we have to use to put the statement that AB = AB in our proof?
a)
Reflexive Property of Equality
b)
Transitive Property of Equality
c)
Symmetric Property of Equality
d)
Distributive Property of Equality
33.
If <M = <L then <L = <M
a)
Transitive Property of Equality
b)
Substitution Property of Equality
c)
Symmetric Property of Equality
d)
Reflexive Property of Equality
34.
Identify the  missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
35.
If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.
a)
Definition of Supplementary Angles
b)
Angle Addition Postulate
c)
Definition of Right Angle
d)
Definition of Complementary Angles
36.
If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.
a)
Vertical Angles Theorem
b)
Definition of Congruent Angles
c)
Angle Addition Postulate
d)
Batman
37.
Which is given in the diagram?
a)
BD ≅ BD
b)
AB ≅ BC
c)
D is the midpoint of AC
d)
ΔABD ≅ ΔCBD
38.
Which is NOT given in the diagram?
a)
AC ≅ EC
b)
BC ≅ DC
c)
AB ≅ ED
d)
All of these are given
39.
If <M = <L then <L = <M
a)
Transitive POE
b)
Substitution POE
c)
Symmetric POE
d)
Reflexive POE
40.
If X = Y, then X + 5 = Y + 5
a)
Addition POE
b)
Subtraction POE
c)
Reflexive POE
d)
Transitive POE
41.
If M is the midpoint of AB, then AM = MB
a)
Addition POE
b)
Def. of Midpoint 
c)
Reflexive POE
d)
Symmetric
42.
If A = B, then 8A = 8B
a)
Multiplication POE
b)
Division POE
c)
Reflexive POE
d)
Addition POE
43.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
44.
If X is between R & T on a line,
then RX + XT = RT
a)
Addition POE
b)
Substitution POE
c)
Angle Addition Post.
d)
Segment Addition Post.
45.

Which property justifies the statement  ∠ABC≅∠ABC\angle ABC\cong\angle ABC  

a)

Symmetric

b)

Reflexive

c)

Substitution

d)

Distributive

46.

Why is  ∠AEC≅∠BED\angle AEC\cong\angle BED  ?

a)

Vertical angles are congruent

b)

All right angles are congruent

c)

If two angles are congruent then their supplements are congruent

d)

If two angles are congruent then their complements are congruent

47.

Which of the following justifies the statement that if  ∠A\angle A  and  ∠B\angle B  are right angles, then  ∠A≅∠B\angle A\cong\angle B  ?

a)

Vertical angles are congruent

b)

All right angles are congruent

c)

If two angles are congruent then their supplements are congruent

d)

If two angles are congruent then their complements are congruent

48.

Which property justifies the statement that if  AB=XYAB=XY  then  10AB=10XY10AB=10XY  

a)

Addition

b)

Reflexive

c)

Multiplication

d)

Distributive

49.

Which is the correct order of reasons in an addition proof?

a)

Partition, Addition, Substitution

b)

Addition, Substitution, Partition

c)

Partition, Substitution, Addition

50.

Which of the following is the correct order for the reasons of a subtraction proof?

a)

Partition, Subtraction, Substitution

b)

Partition, Substitution, Subtraction

c)

Subtraction, Partition, Substitution

51.

What is the correct justification for if  BD‾\overline{BD}  is the angle bisector of  ∠ABC\angle ABC  , then  ∠ABD≅∠CBD\angle ABD\cong\angle CBD  

a)

A midpoint divides a segment into two congruent segments

b)

An angle bisector divides an angle into two congruent angles

c)

All right angles are congruent

d)

Vertical angles are congruent

52.

Which reason justifies the statement if  BB  is the midpoint of  AC‾\overline{AC}  then  AB‾≅BC‾\overline{AB}\cong\overline{BC}  

a)

A midpoint divides a segment into two congruent segments

b)

An angle bisector divides an angle into two congruent angles

c)

A segment bisector intersects a segment at its midpoint

d)

Substitution 

53.

If AB‾⊥BC‾\overline{AB}\perp\overline{BC}  then why is  ∠ABC\angle ABC  a right angle?

a)

Perpendicular lines form right angles

b)

Complementary angles sum to 90

c)

Vertical angles are congruent

d)

All right angles are congruent

54.
Solve for x
a)
20
b)
25
c)
120
d)
180
55.
Solve for x
a)
5
b)
90
c)
25
d)
10
56.
Solve for x
a)
6
b)
140
c)
20
d)
90
57.
CHALLENGE: Find the values of x and y.
a)
x=7 ; y=25
b)
x=5 ; y=25
c)
x=7 ; y=5
d)
x=5; y=5
58.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
59.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

60.
Classify the triangle
a)
Scalene
b)
Isosceles
c)
Equilateral
61.
What type of triangle is this? 
a)
equilateral
b)
obtuse
c)
scalene
d)
isosceles
62.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
63.
Find the measure of the indicated angle. 
a)
70 degrees
b)
82 degrees
c)
83 degrees
d)
42 degrees
64.
What is the value of the unknown angle?
a)
90 degrees
b)
140 degrees
c)
120 degrees
d)
130 degrees
65.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

66.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
67.

What is the relationship between angle 16 and angle 3?

a)

Corresponding Angles Theorem

b)

Same Side Interior Angles Postulate

c)

Vertical Angles Theorem

d)

Alternate Exterior Angles Theorem

e)

Alternate Interior Angles Theorem

68.
Which pair of angles must be supplementary so that r is parallel to s?
a)
∠2 and ∠3
b)
∠5 and ∠6
c)
∠4  and ∠10
d)
∠6  and ∠14
69.
Which of the following relationship proves that j is parallel to k?
a)
∠3 and ∠4 are supplementary
b)
∠4 and ∠5 are supplementary
c)
∠1 ≅ ∠3
d)
∠2 ≅ ∠3
70.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
71.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Symmetric Property of Congruence
d)
Reflexive Property of Congruence
72.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
73.
What is the REASON for Statement #1?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
74.
What is the REASON for Statement #2?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
75.
What is the REASON for Statement #3?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
76.
What is the REASON for Statement #5?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
77.
What is the REASON for Statement #6?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
78.

Find x

a)

122

b)

72

c)

50

d)

194

79.

Solve for x

a)

90

b)

12

c)

5

d)

25

80.

Find the value of a

a)

51

b)

95

c)

39

d)

46

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