Worksheets3.4-3.6 Review Parallel Lines & Transversals & Perp Lines
Total questions: 39
Worksheet time: 1hrs 23mins
Name
Class
Date
1.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
110
b)
Alternate Exterior
110
110
c)
Corresponding
70
70
d)
Alternate Exterior
70
70
2.
State the angle relationship and find the measure of angle 2
a)
Alternate Interior
90
90
b)
Alternate Exterior
90
90
c)
Corresponding
90
90
d)
Same Side Interior
90
90
3.
State the angle relationship and find the measure of angle 3
a)
Alternate Interior
50
50
b)
Alternate Interior
130
130
c)
Corresponding
130
130
d)
Corresponding
50
50
4.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
37
b)
Alternate Interior
143
143
c)
Corresponding
143
143
d)
Corresponding
37
37
5.
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
127
127
b)
Alternate Exterior
52
52
c)
Alternate Interior
127
127
d)
Alternate Interior
52
52
6.
State the angle relationship and find the measure of angle 3
a)
Alternate Exterior
94
94
b)
Alternate Exterior
86
86
c)
Alternate Interior
86
86
d)
Alternate Interior
94
94
7.
If lines are parallel, then alternate interior angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
8.
If lines are parallel, then alternate exterior angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
9.
If lines are parallel, then Corresponding angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
10.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
49
49
b)
Same Side Interior
131
131
c)
Same Side Interior
49
49
d)
Alternate Interior
131
131
11.
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
77
77
b)
Same Side Interior
77
77
c)
Same Side Interior
103
103
d)
Alternate Exterior
103
103
12.
Find the value of y. State the angle relationship.
a)
y = 35
Same side interior
Same side interior
b)
y = 35
Alternate interior
Alternate interior
c)
y = 55
Same Side interior
Same Side interior
d)
y = 55
Alternate interior
Alternate interior
13.
Find the value of y. State the angle relationship.
a)
y = 23
Same side interior
Same side interior
b)
y = 23
Alternate exterior
Alternate exterior
c)
y = 13
Same Side interior
Same Side interior
d)
y = 13
Alternate exterior
Alternate exterior
14.
Find the value of y. State the angle relationship.
a)
y = 20
Same side interior
Same side interior
b)
y = 20
Alternate interior
Alternate interior
c)
y = 10
Same Side interior
Same Side interior
d)
y = 10
Alternate interior
Alternate interior
15.
Find the value of x. State the angle relationship.
a)
x = 23
Same side interior
Same side interior
b)
x = 23
Corresponding
Corresponding
c)
x = 22.6
Same Side interior
Same Side interior
d)
x = 22.6
Corresponding
Corresponding
16.
Find the value of x. State the angle relationship.
a)
x = 7
Same side interior
Same side interior
b)
x = 7
Alternate Interior
Alternate Interior
c)
x = 7.615
Same Side interior
Same Side interior
d)
x = 7.615
Alternate Interior
Alternate Interior
17.
Find the value of x. State the angle relationship.
a)
x = 8.714
Same side interior
Same side interior
b)
x = 8.714
Alternate Exterior
Alternate Exterior
c)
x = 25
Same Side interior
Same Side interior
d)
x = 25
Alternate Exterior
Alternate Exterior
18.
If lines are parallel, then same side interior angles are ___________
a)
congruent
b)
parallel
c)
supplementary
d)
complementary
19.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
20.
What value of x proves that line p is parallel to line r?
a)
14
b)
12.5
c)
15
d)
25
21.
Which value of x will show that line m is parallel to line r?
a)
33
b)
25
c)
24
d)
20
22.
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
23.
Which condition will prove that line l is parallel to line m?
a)
∠1 ≅ ∠3
b)
∠3 ≅ ∠5
c)
∠1 ≅ ∠6
d)
∠6 ≅ ∠5
24.
Line l and m are cut 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°
25.
What is shown in this image?
a)
Reflexive Property
b)
If two lines are parallel to the same line, then they are parallel to each other
c)
Symmetric Property
d)
Alternate exterior angles
26.
If two lines are parallel to the same line, then they are parallel to each other, what lines MUST be parallel?
a)
a||b
b)
a||c
c)
b||c
d)
None
27.
How do we know that m and n are parallel?
a)
They are perpendicular to the same line
b)
They share a transversal
c)
They are marked as parallel
d)
We can assume straight lines
28.
Is m perpendicular to n? If so, why?
a)
Not enough information to know for sure
b)
Yes, it is parallel to l and l is perpendicular to n
c)
Yes, because it is perpendicular to l
d)
Yes, because you can assume straigh lines
29.
Will the pieces of this frame form edges that are parallel? How do you know?
a)
Yes, because each side is perpendicular to the transversal (top)
b)
Not enough information to be sure
c)
Yes, because the each side is 45 degrees
d)
No, because the side angles are complementary to one another
30.
What can you deduce from the image?
a)
c||d, because they are both perpendicular to the same transversal
b)
c||a, because they are both perpendicular to the same transversal
c)
c ⊥ a, because they are both perpendicular to to same transversal
31.
What can you deduce from the image?
a)
c||d, because they are both parallel to the same transversal
b)
a||b, because they are both perpendicular to the same transversal
c)
c ⊥ a, because they are both perpendicular to to same transversal
32.
If angles 1, 2, and 3 are congruent, what lines must be parallel?
a)
A and B
b)
A and C
c)
C and B
d)
A and B and C
33.
If angle 6 + angle 10 = 180
a)
A||B
b)
C||D
c)
Not enough information
34.
If angle 6 ≅ angle 11, then
a)
A||B
b)
C||D
c)
Not enough information
35.
If angle 9 ≅ angle 5, then
a)
A||B
b)
C||D
c)
Not enough information
36.
If angle 4 ≅ angle 5, then
a)
A||B
b)
C||D
c)
Not enough information
37.
If angle 9 ≅ angle 16, then
a)
A||B
b)
C||D
c)
Not enough information
38.
If angle 6 ≅ angle 8, then
a)
A||B
b)
C||D
c)
Not enough information
39.
If angle 4 ≅ angle 15, then
a)
A||B
b)
C||D
c)
Not enough information
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