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Identifying Angle Pairs Review

Total questions: 125

Worksheet time: 29hrs 39mins

Name
Class
Date
1.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
2.
What value of x proves that line p is parallel to line r?
a)
14
b)
12.5
c)
15
d)
25
3.
If a // b and c // d in the figure below, then what is the value of x?
a)
47
b)
57
c)
133
d)
143
4.
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
5.
Line v is a transversal.  Which is a true statement?
a)
w // x and x // y
b)
w // x and y // z
c)
w // y and x // z
d)
w // z and x // y
6.
Which condition will prove that line l is parallel to line m?
a)
∠1 ≅ ∠3
b)
∠3 ≅ ∠5
c)
∠1 ≅ ∠6
d)
∠6 ≅ ∠5
7.
Line l and m are intersected by transversal n.  Which statement proves that line l is parallel to line m?
a)
∠2 ≅ ∠3
b)
∠2 ≅ ∠6 
c)
m∠7 + m∠8 = 180°
d)
m∠3 + m∠5 = 90°
8.
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
9.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
10.
What is the value of x?
a)
13
b)
48
c)
132
d)
60
11.
Angles x and y are....
a)
alternate interior
b)
alternate exterior
c)
corresponding
d)
consecutive interior
12.
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
13.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
14.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
15.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
16.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
17.

Classify the relationship between the pair of angles. ∠10 and ∠12

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

None

18.

Classify the relationship between the pair of angles. ∠6 and ∠9

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

None

19.

Classify the relationship between the pair of angles. ∠7 and ∠10

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

None

20.

Classify the relationship between the pair of angles. ∠2 and ∠13

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

None

21.

Classify the relationship between the pair of angles. ∠2 and ∠3

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

None

22.

If the m∠1 = 36, find the m∠5.

a)

144

b)

36

c)

54

d)

154

23.

If the m∠3 = 125, find the m∠6.

a)

125

b)

45

c)

55

d)

135

24.

If the m∠4 = 20, find the m∠6.

a)

20

b)

160

c)

70

d)

80

25.

What is the value of y in the figure?

a)

8

b)

20

c)

25

d)

10

26.

What is the value of x in the figure?

a)

5

b)

7

c)

12

d)

20

27.

What is the value of y in the figure?

a)

5

b)

7

c)

12

d)

20

28.

Select the figure that makes lines r and t parallel.

a)
b)
c)
d)
29.

Which graph would be parallel to the graph of the equation y = - ⅔ x + 20

a)
b)
c)
d)
30.

What is the slope of the line that is perpendicular to the line in the graph?

a)

5

b)

-5

c)

⅕

d)

-⅕

31.

Find the Value of x that will make the line PT and line CW parallel.

a)

9

b)

2

c)

12

d)

8

32.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

33.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
34.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
35.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
36.

A line that intersects two different lines at two different points

a)

Perpendicular Bisector

b)

Horizon Line

c)

Transversal

d)

Intersecting Line

37.

Interior angles that are on opposite sides of a transversal

a)

Corresponding Angle

b)

same-side interior angles

c)

Triangle

d)

Alternate interior angle

38.

Interior angles that are on the same side of the transversal

a)

Post Malone

b)

Same-side interior angle

c)

Triangle

d)

alternate interior angle

39.

Angles on the same side of a transversal; one is an interior angle and one is an exterior angle

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same-side interior Angles

d)

Los Angeles

40.
Which could be used to prove the lines are parallel?
a)

Converse of AIA thm

b)

Converse of CIA Thm

c)

Converse of CA Thm

d)
Cannot be proved parallel
41.
Which could be used to prove the lines are parallel?
a)

VA Thm

b)

Converse of AIA Thm

c)

Converse of CA Thm

d)
Cannot be proved parallel
42.
Which could be used to prove the lines are parallel?
a)

Converse of CA THM

b)

Converse of AIA Thm

c)

LP Thm

d)
Cannot be proved parallel
43.
What value of x would make line m || line n?
a)
54
b)
126
44.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
45.
Solve for y.
a)
y = 55
b)
y = 35
c)
y = 70
d)
y = 70
46.

Select the figure that makes lines r and t parallel.

a)
b)
c)
d)
47.
In this figure, angle 1 = 135 degrees
Which of these statements is enough to prove that lines m and n are parallel?
a)
angle 2 = 45 degrees
b)
angle 3 = 135 degrees
c)
angle 8 = 135 degrees
d)
angle 5 = 135 degrees
48.

What is the measure of ∠8 if the lines are parallel?

a)

55°55\degree  

b)

155°155\degree  

c)

135°135\degree  

d)

45°45\degree  

49.

Angle 1 = 27o

Find the measure of angle 4 that makes the lines parallel

a)

27o

b)

153o

c)

63o

d)

90o

50.
If angle 4 is x + 15 and angle 2 is 3x - 5, what is the value of x?
a)
5
b)
10
c)
25
d)
x + 15
51.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
52.
What type of angle pair is ∠1 and ∠8?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
53.
Name the alternate interior angle to angle 3.
a)

∠4\angle4  

b)

∠5\angle5  

c)

∠6\angle6  

d)

∠8\angle8  

54.
Find m∠ADE. 
a)
77°
b)
93°
c)
110°
d)
80°
55.
A figure that goes on forever in both directions is
a)
Line segment
b)
Point
c)
Line
d)
Ray
56.
A part of a line with two endpoints
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
57.
A part of a line that has one endpoint and goes on forever in the other direction
a)
Line
b)
Ray
c)
Line Segment
d)
Angle
58.
2 rays make up a(n)
a)
ray
b)
line segment
c)
line
d)
angle
59.
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
60.
What value of x will make m parallel to n?
a)
113
b)
166
c)
19
d)
133
61.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X AND TO PROVE THAT A IS PARALLEL TO B?

a)

16x+180 = 90

b)

12X - 29 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 29 + 4X +1=180

62.
What is the value of x?
a)
13
b)
6.2
c)
29.8
63.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
64.
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
65.

Solve for x

a)

80

b)

100

c)

90

d)

180

66.
What value of x proves that line p is parallel to line r?
a)
14
b)
12.5
c)
15
d)
25
67.

Find x.

a)

x = 29

b)

x = -13

c)

x = 20

d)

x = 3

68.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
69.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
70.
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°
71.

Which of the statements below can be concluded from the diagram?

a)

c⊥dc\perp d

b)

b∥ab\parallel a

c)

b∥cb\parallel c

d)

a⊥ba\perp b

72.

Which of the statements below can be concluded from the diagram?

a)

c⊥dc\perp d

b)

b∥ab\parallel a

c)

d∥cd\parallel c

d)

a⊥ca\perp c

73.

Which of the statements below can be concluded from the diagram?

a)

c⊥bc\perp b

b)

b∥ab\parallel a

c)

d∥bd\parallel b

d)

a⊥ca\perp c

74.

How many lines can be drawn through point C parallel to A←B→\overleftarrow{A}\overrightarrow{B}  ?

a)

None

b)

Exactly one

c)

Too many to count

d)

I need help

75.

Two intersecting lines are always coplanar.

a)

True

b)

False

76.

Parallel lines are cut by a transversal. Which pair of resulting angles are NOT always congruent?

a)

Corresponding angles

b)

Alternate exterior angles

c)

Alternate interior angles

d)

Consecutive interior angles

77.

Which statement can be used to prove that line n and line m are parallel?

a)

Angle 1 and angle 4 are congruent.

b)

Angle 3 and angle 6 are congruent.

c)

Angle 2 and angle 8 are congruent.

d)

Angle 4 and angle 7 are congruent.

78.

The measure of two vertical angles are 2x + 14 degrees and 3x + 8 degrees. What is the measure of each angle?

a)

6°6\degree  

b)

14°14\degree  

c)

24°24\degree  

d)

26°26\degree  

79.

<1 and <3 are supplementary. <1 and <2 are vertical angles. The measure of angle 3 is 59 degrees. What is the measure of angle 2?

a)

31 degrees

b)

59 degrees

c)

121 degrees

d)

131 degrees

80.

True or False: If two sides of two adjacent acute angles are perpendicular, then the angles are complimentary.

a)

True

b)

False

81.

Determine which lines, if any, must be parallel.

a)

Line v and line w

b)

Line x and line y

c)

Line v and line y

d)

None

82.

Which of the following angle measures is NOT true for this diagram?

a)

m<4 = 30 degrees

b)

m<1 = 90 degrees

c)

m<5 = 90 degrees

d)

m<2 = 60 degrees

83.

Identify which conclusions can be made from the picture?

a)

segment AB and segment CD are parallel, but segment AZ and segment FG are not parallel.

b)

segment AB and segment AZ are parallel, while segment CD and segment FG are perpendicular.

c)

segment AB and segment FG are parallel.

d)

segment AZ and CD are perpendicular.

84.

If you are told line j is not parallel to line k, which of the following statements would disprove this?

a)

<1 and <9 are supplementary

b)

<6 and <4 are supplementary

c)

<5 and <8 are congruent

d)

<12 and <1 are congruent

85.

Which two angles are supplementary

a)

∠1 and ∠3

b)

∠2 and ∠6

c)

∠4 and ∠6

d)

∠7 and ∠8

86.

What is the vertical angle of angle 4?

a)

<1

b)

<2

c)

<3

d)

<5

87.

What is the vertical angle of angle 7?

a)

<5

b)

<6

c)

<

d)

<8

88.

Are angles 1 and 3 congruent to each other?

a)

No, because they are supplementary.

b)

No, because they are vertical.

c)

Yes, because they are next to each other.

d)

Yes, because they are on the same line.

e)

Not enough information

89.

Are angles 2 and 7 congruent to each other?

a)

No, because they are on opposite sides.

b)

No, because they are alternate interior.

c)

Yes, because they are alternate interior.

d)

Yes, because they are alternate exterior.

e)

Not enough information

90.

What do complementary angles add up to?

a)

180°180\degree  

b)

90°90\degree  

91.

What do supplementary angles add up to?

a)

90

b)

180

92.
What is it called when points lie on the same line.
a)
Midpoint
b)
Coplanear
c)
Segment Bisector
d)
Collinear
93.
Coplanar lines that do not intersect.
a)
Parallel Lines
b)
Perpendicular Lines
c)
Congruent Segments
d)
Parallel Planes
94.
Points that lie in the same plane.
a)
Colinear
b)
Intersection
c)
Parallel Planes
d)
Coplanear
95.

What is the angle relationship between <9 and <16?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

No Relationship

96.

What is the angle relationship between <3 and <5?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

No Relationship

97.

What is the angle relationship between <7 and <15?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

No Relationship

98.

What is the angle relationship between <1 and <10?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

No Relationship

99.

What is the angle relationship between <2 and <11?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

No Relationship

100.

Name the transversal that connects <6 and <13.

a)

r

b)

s

c)

p

d)

q

101.

Which pair of lines are perpendicular?

a)

x - y = 7 and y = x+3

b)

y = -4x +1 and 8x + 2y = -10

c)

y = -8 and y = 2

d)

x = 4 and y = -1

102.

If / 1= 2x + 22 and / 8 = 3x – 16, what value of x makes a || b?

a)

11

b)

17

c)

25

d)

38

103.

If / 3= 32 and / 5 = 7x + 8, what value of x makes a || b?

a)

3

b)

4

c)

7

d)

20

104.

If / 2= 42 and / 5 = 14x – 2, what value of x makes a || b?

a)

3

b)

4

c)

10

d)

40

105.

Which lines are parallel?

a)

a || c

b)

d || e

c)

a || c and d || e

d)

a || b || c and d || e

106.

The fence below is bounded by parallel boards. Find the measure of angle 2.

a)

40°40\degree  

b)

60°60\degree  

c)

80°80\degree  

d)

120°120\degree  

107.

Which statement is true about angles 4 and 5

a)

The angles are congruent

b)

The angles are complementary

c)

The angles are supplementary

d)

The angles have no relationship

108.

If there is a line and a point not on the line, there is/are _____________ line(s) through the point parallel to the given point.

a)

no

b)

exactly 1

c)

only 2

d)

many

109.

If there is a line and a point not on the line, there is/are ___________________ line(s) through the point perpendicular to the given line.

a)

no

b)

exactly 1

c)

only 2

d)

many

110.
What do you call the common endpoint of two rays? 
a)
Angle
b)
Segment
c)
Ray
d)
Vertex 
111.
Name the relationship between ∠2 and ∠7.
a)
corresponding angles
b)
alternate interior angles
c)
alternate exterior angles
d)
vertical angles
112.
Find m∠SVW
a)
84°
b)
116°
c)
74°
d)
104°
113.
What is the measure of angle 1?
a)

68°68\degree  

b)

55°55\degree  

c)

112°112\degree  

d)

57°57\degree  

114.
Which property states that 4 = 4?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
115.
Which property states that if 10a = 2b and 2b = c, then 10a = c?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
116.
Identify the property shown.
a)
Distributive Property
b)
Commutative Property of Multiplication
c)
Associative Property of Multiplication
d)
Subtraction Property of Grouping
117.
Which property states that if 2x = 14, then x = 7?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
118.
Which property says that if -5x - 1 = -11, then -5x = -10?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
119.
Which property says if 6y = 24, then 6y - 3 = 24 - 3?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
120.
Which property states if 10x + w = 41 and w = 1, then 10x + 1 = 41?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
121.
Which property says if y ÷ 2 = -10, then y = -20?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
122.
Which property says if 3x = 2y and 2y = z, then 3x = z?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
123.
Which property says given 3x2 + 1, if x = 5, then 3(5)2 + 1?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
124.
Which property says 10y = 10y?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
125.
Which property states that 5x + 8x = x(5 + 8)?
a)
Addition Property
b)
Multiplication Property
c)
Division Property
d)
Distributive Property