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WorksheetsTopic 5 Parallel Lines and Transversals Practice
Total questions: 184
Worksheet time: 3hrs 20mins
If lines are parallel with a transversal, then these two angles are...
Supplementary Angles
Corresponding Angles
Alternate Exterior Angles
Parallel Angles
Find the measure of angle 4
No
Yes, Corresponding angles are congruent
Yes, Alternate Interior angles are congruent
Yes, Alternate Exterior angles are congruent
What is the relationship of the angles?
Corresponding angles
Consecutive interior angles
Alternate interior angles
alternate exterior angles
Which pair of angles are corresponding angles?
∠ 7 and ∠ 4
∠ 2 and ∠ 6
∠ 8 and ∠ 1
∠ 2 and ∠ 8
Which of the following terms best describes the relationship between ∠w and ∠x ?
Corresponding angles
Same-side interior angles
Alternate interior angles
Same-side exterior angles
If ∠1 = 27° , find the measure of ∠4 .
27°
153°
63°
90°
Name the corresponding angle to ∠4 .
∠8
∠6
∠2
∠5
Name the alternate interior angle to ∠3 .
∠4
∠5
∠6
∠8
In this figure, parallel lines a and b are intersected by line c. Which pair of angles are not supplementary?
∠1 and ∠6
∠3 and ∠8
∠2 and ∠7
∠4 and ∠6
Find the value of y.
80°
100°
180°
20°
Solve for y.
y=55
y=35
y=70
y=45
Identify each pair of angles.
alternate exterior
same-side interior
corresponding
alternate interior
Identify each pair of angles.
corresponding
alternate exterior
alternate interior
same-side interior
Identify each pair of angles.
vertical
corresponding
alternate exterior
alternate interior
Find the value of y.
80
180
Alternate exterior angles are outside of the parallel lines and on opposite sides of the ...
angle
measurement
transversal
vertex
Which angle is a vertical angle to with ∠7 ?
∠1
∠5
∠3
∠6
∠9
11) Given the two parallel lines cut by a transversal,
What is the measure of ∠4 if m∠8=76° ?
(a)
Find the value of C.
Find the value of D.
5) True or False.
If the following parallel lines are cut by a transversal, would∠2 and ∠6 be corresponding?
True
False
Find the value of x.
x = 133
x = 47
x = 180
x = 90
Find the value of y and describe the angle pair.
What are alternate interior angles?
A pair of angles on the outer side of two lines cut by a transversal, but on opposite sides of the transversal
The angles opposite of each other when two lines cross
A pair of angles on the inner side of two lines cut by a transversal, but on opposite sides of the transversal
Two angles in the same position when parallel lines are cut by a transversal
What angle is vertical to ∠1 ?
∠7
∠4
∠6
∠2
Which of the following is NOT an example of supplementary angles?
∠7 and ∠8
∠2 and ∠3
∠1 and ∠7
∠6 and ∠4
What angle is vertical to ∠5 ?
∠3
∠1
∠6
∠2
What angle corresponds to ∠3 ?
∠4
∠5
∠8
∠7
What is the relationship of the angles?
Corresponding angles
Consecutive interior angles
Alternate interior angles
alternate exterior angles
Which of the following terms best describes the relationship between ∠w and ∠x ?
Corresponding angles
Same-side interior angles
Alternate interior angles
Same-side exterior angles
Consecutive Interior
What angle corresponds to ∠5 ?
∠7
∠5
∠3
∠2
If ∠1 = 27° , find the measure of ∠4 .
27°
153°
63°
90°
Find the measure of C
If angle 2 is 70 degrees, what is the measure of angle 1?
70 degrees
20 degrees
110 degrees
180 degrees
Solve for y.
y=55
y=35
y=70
y=45
Find the measure of angle 4
Which condition will prove that line l is parallel to line m?
Alternate Interior angles are Supplementary
Same Side Interior Angles are Supplementary
Corresponding Angles are Supplementary
Alternate Exterior Angles are Supplementary
Find the measure of the angle indicated that makes
u∥v .44 °
97undefined
120undefined
134undefined
Find the measure of the angle indicated that makes
u∥v .44 °
97undefined
120undefined
134undefined
Find the measure of the angle indicated that makes
u∥v .61 °
78undefined
89undefined
95undefined
Find the measure of the angle indicated that makes
u∥v .58 °
64undefined
68undefined
115undefined
Use the figure to determine if lines u and v are parallel.
If m∠A=10x+5 and m∠B=75 , determine the value of x that supports
-10
-3
5
7
Use the figure to determine if lines u and v are parallel.
If m∠A=11x and m∠B=12x−5 , determine the value of x that supports
4
5
7
10
Use the figure to determine if lines u and v are parallel.
If m∠A=39x+3 and m∠B=40x , determine the value of x that supports
2
3
5
10
Use the figure to determine if lines u and v are parallel.
If m∠A=4x+6 and m∠B=3x+17 , determine the value of x that supports
-9
6
8
11
Use the figure to determine if lines u and v are parallel.
If m∠A=8x+12 and m∠B=10x−6 , determine the value of x that supports
2
7
9
12
Which lines are parallel, and why?
m || n because corresponding angles are congruent
m || n because alternate interior angles are congruent
p || q because corresponding angles are congruent
p || q because alternate interior angles are congruent
Which lines are parallel, and why?
m || n because corresponding angles are congruent
m || n because alternate interior angles are congruent
p || q because corresponding angles are congruent
p || q because alternate interior angles are congruent
Which lines are parallel, and why?
m || n because corresponding angles are congruent
m || n because alternate interior angles are congruent
p || q because corresponding angles are congruent
p || q because alternate interior angles are congruent
Which condition would prove s || t?
Angle 1 is 108 degrees.
Angle 2 is 108 degrees.
Angle 3 is 72 degrees.
Angle 1 is 72 degrees.
Angle 2 is 72 degrees.
Which condition would prove u || v?
Angle 1 is 108 degrees.
Angle 2 is 108 degrees.
Angle 3 is 72 degrees.
Angle 1 is 72 degrees.
Angle 2 is 72 degrees.
Which condition would prove a || b ?
Angle 1 is 60 degrees.
Angle 2 is 120 degrees.
Angle 3 is 120 degrees.
Angle 1 is 120 degrees.
Angle 3 is 60 degrees.
Which condition would prove g || h ?
Angle 1 is 60 degrees.
Angle 2 is 120 degrees.
Angle 3 is 120 degrees.
Angle 1 is 120 degrees.
Angle 3 is 60 degrees.
Which line is parallel to c ?
a
b
d
none
According to the angle measurements given, which lines are parallel?
e || f
e || g
e || h
f || g
f || h
Which reason explains why the two lines are parallel?
Corresponding Angles Converse
Alt. Interior Angles Converse
Alt. Exterior Angles Converse
Consecutive Int. Angles Converse
Not Enough Information to Prove Parallel
Which reason explains why the two lines are parallel?
Corresponding Angles Converse
Alt. Interior Angles Converse
Alt. Exterior Angles Converse
Not Enough Information to Prove Parallel
Vertical Angles Theorem
Which reason explains why the two lines are parallel?
Corresponding Angles Converse
Alt. Interior Angles Converse
Alt. Exterior Angles Converse
Consecutive Interior Angles Converse
Not Enough Information to Prove Parallel
Which of the following is the reason the two lines are parallel?
Corresponding Angles Converse
Alt. Interior Angles Converse
Alt. Exterior Angles Converse
Consecutive Int. Angles Converse
Not Enough Information to Prove Parallel
What is the reason the two lines are parallel?
Corresponding Angles Converse
Alt. Interior Angles Converse
Alt. Exterior Angles Converse
Consecutive Int. Angles Converse
Not Enough Information to Prove Parallel
What is the reason the two lines are parallel?
Corresponding Angles Converse
Alt. Interior Angles Converse
Alt. Exterior Angles Converse
Consecutive Int. Angles Converse
Not Enough Information to Prove Parallel
What is the reason the two lines are parallel?
Corresponding Angles Converse
Alt. Int. Angles Converse
Alt. Ext. Angles Converse
Consecutive Interior Angles Converse
Vertical Angles
Why are the two lines parallel?
Corresponding Angles Converse
Alternate Interior Angles Converse
Alternate Exterior Angles Converse
Consecutive Interior Angles Converse
Linear Pair Postulate
Why are the two lines parallel?
Corresponding Angles Converse
Consecutive Interior Angles Converse
Alt. Ext. Angles Converse
Alt. Ext. Angles Converse
Not Enough Information to Prove Parallel
Why are the two lines parallel?
Corresponding Angles Converse
Alt. Int. Angles Converse
Alt. Ext. Angles Converse
Consecutive Int. Angles Converse
Not Enough Information to Prove Parallel
What is the reason these two lines are parallel?
Corresponding Angles Converse
Alt. Int. Angles Converse
Alt. Ext. Angles Converse
Vertical Angles Theorem
Consecutive Int. Angles Converse
Why are these two lines parallel?
Vertical Angles Theorem
Corresponding Angles Converse
Alt. Int. Angles Converse
Alt. Ext. Angles Converse
Not Enough Information to Prove Parallel
What value of x would make the lines parallel?
13
35
37
78
102
No
Yes, corresponding angles are congruent
Yes, consecutive interior angles are congruent
Yes, Alternate exterior angles are congruent
No
Yes, corresponding angles are congruent
Yes, consecutive interior angles are congruent
Yes, Alternate interior angles are congruent
No
Yes, Corresponding angles are congruent
Yes, Alternate Interior angles are congruent
Yes, Alternate Exterior angles are congruent
No
Yes, Corresponding angles are congruent
Yes, Alternate Interior angles are congruent
Yes, Alternate Exterior angles are congruent
No
Yes, Corresponding angles are congruent
Yes, Alternate Interior angles are congruent
Yes, Alternate Exterior angles are congruent
No
Yes, Corresponding angles are congruent
Yes, Alternate Interior angles are congruent
Yes, Alternate Exterior angles are congruent
No
Yes, Consecutive Interior angles are supplementary
Yes, Alternate Interior angles are congruent
Yes, Alternate Exterior angles are congruent
No
Yes, Consecutive Interior angles are supplementary
Yes, Consecutive Interior angles are congruent
Yes, Alternate Exterior angles are congruent
m∥n because Alternate Interior angles are congruent
p∥q because Alternate Interior angles are congruent
m∥n because Consecutive Interior angles are congruent
Neither pair of lines is parallel
m∥n because Alternate Exterior angles are congruent
p∥q because Alternate Exterior angles are congruent
p∥q because Corresponding angles are congruent
Neither pair of lines is parallel
m∥n because Corresponding angles are congruent
m∥n because Consecutive Interior angles are congruent
p∥q because Corresponding angles are congruent
Neither pair of lines is parallel
m∥n because Alternate Exterior angles are congruent
m∥n because Alternate Interior angles are congruent
p∥q because Alternate Interior angles are congruent
Neither pair of lines is parallel
Converse of Corresponding Angles Postulate
Corresponding Angles Postulate
Converse of Consecutive Interior Angles Theorem
Converse of Alternate Interior Angles Theorem
Consecutive Interior Angles Theorem
Converse of Consecutive Interior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorem
Yes, vertical angles are congruent
No, vertical angles are not enough to prove lines parallel
Yes, corresponding angles are congruent
Yes, alternate interior angles are congruent
Yes, corresponding angles are congruent
Yes, alternate exterior angles are congruent
Yes, alternate interior angles are congruent
No, those angles have no relationship
100° - Consecutive Interior Angles are congruent
80° - Consecutive Interior Angles are supplementary
126° - Corresponding Angles are congruent
54° - Corresponding Angles are supplementary
126° - Alternate Interior Angles are congruent
71° - Alternate Exterior Angles are congruent
109° - Alternate Exterior Angles are supplementary
71° - Alternate Interior Angles are congruent
97° - Alternate Exterior Angles are congruent
83° - Alternate Exterior Angles are supplementary
97° - Corresponding Angles are congruent
x = 6
x = 10
x = 30
x = 5
x = 7
x = 3
x = 1/7
x = 9
x = 72/17
x = 12
x = 6
x = 4.2
x = 8
x = 68/9
x = 12.4
x = -3
Which two angles are the remote interior angles to Angle W?
Angle X and Angle Y
Angle X and Angle Z
Angle Y and Angle Z
Angle Z and Angle W
Find the measure of each angle indicated.
70°
170°
10°
40°
Find the measure of each angle indicated.
5°
165°
65°
60°
Find the measure of each angle indicated.
50°
120°
30°
20°
Find the measure of each angle indicated.
105°
75°
55°
115°
Find the measure of each angle indicated.
95°
185°
55°
100°
Find the measure of each angle indicated.
180°
190°
30°
20°
Find the measure of each angle indicated.
94°
30°
40°
86°
Find the measure of each angle indicated.
60°
130°
50°
110°
Which of the following angles are remote interior angles to
∠d ?∠a and ∠b
∠a and ∠c
∠b and ∠d
∠a, ∠b, and ∠c
Find the measure of the indicated angle.
(a)
Find the measure of the indicated angle.
(a)
Find the measure of each angle indicated.
(a)
Find the value of k.
(a)
Solve for x.
(a)
Find x.
(a)
Find the ?
(a)
Find the measure of each angle indicated.
(a)
Find the measure of each angle indicated.
(a)
What is the value of x?
(a)
If two angles in a triangle are 45° and 75° , what is the measure of the third angle?
75°
90°
60°
70°
The angles inside an equilateral triangle are all ...
20 degrees
50 degrees
60 degrees
45 degrees
A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?
45°, 65°, 70°
150°, 110°, 100°
50°, 50°, 50°
90°, 90°, 90°
Will the following three angles for a triangle?
30°, 60°, 90°
yes
no
Find the value of x.
75 degrees
45 degrees
15 degrees
30 degrees
Find the value of x.
60 degrees
90 degrees
50 degrees
180 degrees
Solve for x.
x = 7
x = 8
x = 6
x = 9
Find the value of x
1
15
11
3
Find the value of x
16
2
6
8
Find the measure of each angle indicated.
70°
170°
10°
40°
