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Geometry 2.5-2.8 Quiz Review

Total questions: 45

Worksheet time: 8hrs 30mins

Name
Class
Date
1.
Identify the property of equality.
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
2.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
3.
Step 2 is what
a)

Simplify

b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
4.
What is step 4
a)

Simplify

b)
Addition property of equality
c)

Multiplication property of equality

5.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
6.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

7.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

8.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Symmetric Property of Congruence

d)

Definition of Midpoint

9.

What is the justification?

a)

Definition of between

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

10.
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
11.
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
12.
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
13.
If ∠CAT is a right angle, then m∠CAT = 90°.
a)
Definition of Right Angle
b)
Definition of Congruent Angles
c)
Angle Addition Postulate
d)
Segment Addition Postulate
14.

If DB bisects ∠ABC, then m∠ABD = m∠CBD.

a)
Definition of Congruent Angles
b)
Definition of Angle Bisector
c)
Angle Addition Postulate
d)
Definition of Right Angle
15.

What is the missing statement in the proof?

a)

Addition property

b)

Definition of between

c)

Substitution property

d)

Transitive property

16.
a)
100°
b)
80°
c)
90°
d)
180°
17.
a)
100°
b)
80°
c)
90°
d)
180°
18.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
19.
If LN = 32, what is MN?
a)
11
b)
20
c)
12
d)
10
20.
What is the value of x?
a)
90
b)
45
c)
180
d)
51
21.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
22.
A line or line segment that divides an angle into two equal parts
a)
Bisector
b)
Complementary
23.
Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Angle Bisector
d)
Definition of Congruent Angles
24.
If O is between FX, then FO + OX = FX.
a)

Definition of Between

b)
Angle Addition Postulate
c)
Definition of Congruent Segments
d)
Vertical Angles Theorem
25.
a)

63, 27

b)

63, 33

c)

5, 33

d)

30, 60

26.
Solve for x.
a)
10.5
b)
11.5
c)
34
d)
34.5
27.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
28.

Choose the pair of vertical angles.

a)

ACF\angle ACF  and   FCB\angle FCB

b)

ACB\angle ACB  and DCE\angle DCE  

c)

FCB\angle FCB  and  ACD\angle ACD  

d)

BCE\angle BCE  and  ECD\angle ECD  

29.

Choose the angles that form a linear pair.

a)

ACF\angle ACF  and FCB\angle FCB   

b)

ACB\angle ACB  and DCE\angle DCE  

c)

FCB\angle FCB  and  ACD\angle ACD  

d)

BCE\angle BCE  and  ECD\angle ECD  

30.

Choose the pairs of vertical angles. May be more than one answer.

a)

RMP\angle RMP and QMS\angle QMS

b)

RMT\angle RMT and PMS\angle PMS

c)

RMQ\angle RMQ and PMS\angle PMS

d)

RMP\angle RMP and TMS\angle TMS

31.

EJ \overrightarrow{EJ}\  bisects  DEF\angle DEFmDEJ=5x+7m\angle DEJ=5x+7  ,  mJEF=8x8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

32.
Find AB
a)
3
b)
4
c)
5
d)
2
33.
a)
MQ=4, PQ=8
b)
MQ=4, PQ=4
c)
MQ=8, PQ=4
d)
MQ=8, PQ=8
34.

GIven the line segment above. What formula represents the value of midpoint C?

a)

C=H+P2C=\frac{H+P}{2}

b)

C=HP2C=\frac{H-P}{2}

c)

H=C+P2H=\frac{C+P}{2}

d)

P=H+C2P=\frac{H+C}{2}

e)

midpoint=H+PCmidpoint=\frac{H+P}{C}

35.

Find the Midpoint of JK

a)

-5

b)

-6

c)

-5.5

d)

-6.5

36.

What is the midpoint of segment KM?

a)

Point L

b)

Point K

c)

0

d)

2

37.

Given that M is the midpoint of AB\overline{AB} and AB = 22, find MB.

a)

44

b)

22

c)

11

d)

33

38.

Given that M is the midpoint of AB\overline{AB} and a = 8 and b = -4, find m.

a)

2

b)

-12

c)

6

d)

16

39.

Given that M is the midpoint of AB\overline{AB} . If the coordinate of M is 10 and AM = 14, find the coordinate of A.

a)

4

b)

24

c)

12

d)

-4

40.

Given that M is the midpoint of AB\overline{AB} . If the coordinate of M is 10 and AM = 14, find the coordinate of B.

a)

4

b)

24

c)

12

d)

-4

41.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
42.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
43.

Which angle is complementary to LJM\angle LJM  

a)

MJN\angle MJN  

b)

NJP\angle NJP  

c)

FGE\angle FGE  

d)

LJK\angle LJK  

44.

Which angle is supplementary to LJN\angle LJN  

a)

MJN\angle MJN  

b)

NJP\angle NJP  

c)

FGE\angle FGE  

d)

LJK\angle LJK  

45.

Look at the angles. Which pair of angles is supplementary?

a)

∠ 3 and ∠ 6

b)

∠ 1 and ∠ 4

c)

∠ 3 and ∠ 4

d)

∠ 1 and ∠ 6