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Properties, Postulates, Midpoint & Distance Quiz

Total questions: 51

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

Complete the statement with the transitive property: If a=b and b=c then...

a)

a=c

b)

b=a

c)

c=b

d)

a=d

2.

Complete the statement with the symmetric property: If a=b then...

a)

b=a

b)

a=a

c)

a=c

d)

b=b

3.

a(b+c) = ab + ac is an example of...

a)

transitive property

b)

substitution property

c)

symmetric property

d)

distributive property

4.

a=a is an example of...

a)

symmetric property

b)

transitive property

c)

distributive property

d)

reflexive property

5.

If 3x+y=27 and y=12, 3x+12=27 is an example of...

a)

substitution property

b)

addition property

c)

subtraction property

d)

transitive property

6.
What is the inverse operation of addition?
a)
addition
b)
subtraction
c)
multiplication
d)
division
7.
What is the inverse operation of multiplication?
a)
addition
b)
subtraction
c)
multiplication
d)
division
8.
What is Subtraction property of equality
a)
a.   If a=b, then a+c=b+c
b)
b.  If a=b, then a-c=b-c
c)
c.  If a=b, then ac=bc
d)
d.  If a=b, then a/c=b/c
9.
a)
Definition of Congruent Segments
b)
Definition of Segment Bisector
c)
Segment Addition Postulate 
d)
Definition of Midpoint 
10.
a)
Definition of Congruent Angles
b)
Definition of Complementary Angles
c)
Definition of Angle Bisector 
d)
Reflexive Property 
11.
Addition Property of Equality
a)
If a=b, then a∙c = b∙c.
b)
If a=b, then a-c = b-c.
c)
If a=b, then a+c = b+c.
d)
If a = b, then a/c=b/c when c≠0.
12.
Multiplication Property of Equality
a)
If a=b, then a∙c = b∙c.
b)
If a=b, then a-c = b-c.
c)
If a=b, then a+c = b+c.
d)
If a = b, then a/c=b/c when c≠0.
13.
Division Property of Equality
a)
If a=b, then a∙c = b∙c.
b)
If a=b, then a-c = b-c.
c)
If a=b, then a+c = b+c.
d)
If a = b, then a/c=b/c when c≠0.
14.
Segment Addition Postulate
a)
Vertical Angles are Congruent
b)
m∠ABC+m∠BCD=m∠ABD
c)
An angle that measures 90°.
d)
AB+BC=AC
15.
Angle Addition Postulate
a)
Vertical Angles are Congruent
b)
m∠ABC+m∠BCD=m∠ABD
c)
An angle that measures 90°.
d)
AB+BC=AC
16.
Vertical Angles Theorem
a)
Vertical Angles are Congruent
b)
m∠ABC+m∠BCD=m∠ABD
c)
An angle that measures 90°.
d)
AB+BC=AC
17.
Midpoint tells us
a)
AB=BC
b)
AB=CD
c)
AB=AB
d)
AB
18.
What is the reason?
a)
Given
b)
Obvious
c)
Definition of Midpoint
d)
Midpoint Postulate
19.
What is the reason?
a)
Definition of Midpoint
b)
Midpoint Postulate
c)
Subsitution
d)
Segment Addition Postulate
20.
Why can we make these claim about the picture?
a)
Given
b)
Segment Addition Postulate
c)
Definition of a Midpoint
d)
Theorem of Equality
21.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
22.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
23.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
24.
linear pairs must
a)
be adjacent
b)
be supplementary
c)
adjacent and supplementary
d)
non-complementary
25.
in a two-column proof, the properties that justify each step are called  ______
a)
reasons
b)
givens
c)
postulates
d)
definitions
26.
given 2 parallel lines cut by a transversal:
corresponding angles are ____
a)
congruent
b)
supplementary
27.
given 2 parallel lines cut by a transversal: 
alternate interior angles are ____
a)
congruent
b)
supplementary
28.
given 2 parallel lines cut by a transversal: 
same side (consecutive interior angles are ____
a)
congruent
b)
supplementary
29.
parallel lines have
a)
same slopes
b)
neg. reciprocal slopes
c)
a common point shared
d)
negative slopes
30.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
31.

Which Postulate would you use to find HG?

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Segment Bisector

d)

Angle Bisector

32.

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

a)

Straight Angle Theorem

b)

Congruent Compliments Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

33.

If AB=50, which statement proves that AM=25?

a)

Definition of Congruent

b)

Definition of Midpoint

c)

Definition of Segment

34.

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate proves that m∠XUY = 78°

a)

Definition of Segment Bisector

b)

Definition of Angle Bisector

c)

Angle Addition Postulate

d)

Segment Addition Postulate

35.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

36.
Identify the property you would use to solve this equation:
4x = 72
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
37.

Identify the property you would use to solve this equation:

y – 7 = 28

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplicative Property of Equality

d)

Division Property of Equality

38.
What property would I use to solve this equation?
7 + x = 14
a)
Multiplication Property
b)
Subtraction Property
c)
Division Property
d)
Substitution Property
39.
If 3x = 15, then x = 5
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Division Property of Equality
d)
Multiplication Property of Equality
40.
What is the measure of angle x?
a)
45
b)
60
c)
65
d)
75
41.
Angles that add up to 90 degrees.
a)
same-side interior angles
b)
supplementary
c)
complementary
d)
adjacent angles
42.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
43.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
44.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
45.

Find the complement of the angle

a)

32

b)

58

c)

148

d)

122

46.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
47.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
48.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
49.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
50.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
51.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6

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