Free Printable Re-Assessment: Lesson 2-2 Proving Lines Parallel

1.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

2.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

3.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

4.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

supplementary angles

c)

corresponding angles

d)

vertical angles

5.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

6.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

7.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

8.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

a)

43

b)

37

c)

143

d)

37

9.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

10.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

11.

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

12.

Which value of x will show that lines l and m are parallel?

a)

20

b)

22

c)

24

d)

25

13.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

14.

Which value of x will show that line m is parallel to line r?

a)

33

b)

25

c)

24

d)

20

15.

What value of x proves that lines l and m are parallel?

a)

21

b)

23

c)

40

d)

57

16.

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

17.

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

18.

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

19.

Which condition will prove that line l is parallel to line m?

a)

∠1 ≅ ∠3

b)

∠3 ≅ ∠5

c)

∠1 ≅ ∠6

d)

∠6 ≅ ∠5

20.

Which condition will prove that line l is parallel to line m?

a)

∠1 ≅ ∠3

b)

∠3 ≅ ∠5

c)

∠1 ≅ ∠6

d)

∠6 ≅ ∠5

21.

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°

22.

Find the measure of the angle indicated that makes

u\parallel v

.

a)

44 $\degree$

b)

97undefined

c)

120undefined

d)

134undefined

23.

Find the measure of the angle indicated that makes

u\parallel v

.

a)

44 $\degree$

b)

97undefined

c)

120undefined

d)

134undefined

24.

Find the measure of the angle indicated that makes

u\parallel v

.

a)

61 $\degree$

b)

78undefined

c)

89undefined

d)

95undefined

25.

Find the measure of the angle indicated that makes

u\parallel v

.

a)

58 $\degree$

b)

64undefined

c)

68undefined

d)

115undefined

26.

Use the figure to determine if lines u and v are parallel.

If $m\angle A=10x+5$ and $m\angle B=75$ , determine the value of x that supports

u\parallel v

.

a)

-10

b)

-3

c)

5

d)

7

27.

Use the figure to determine if lines u and v are parallel.

If $m\angle A=11x$ and $m\angle B=12x-5$ , determine the value of x that supports

u\parallel v

.

a)

4

b)

5

c)

7

d)

10

28.

Use the figure to determine if lines u and v are parallel.

If $m\angle A=39x+3$ and $m\angle B=40x$ , determine the value of x that supports

u\parallel v

.

a)

2

b)

3

c)

5

d)

10

29.

Use the figure to determine if lines u and v are parallel.

If $m\angle A=4x+6$ and $m\angle B=3x+17$ , determine the value of x that supports

u\parallel v

.

a)

-9

b)

6

c)

8

d)

11

30.

Use the figure to determine if lines u and v are parallel.

If $m\angle A=8x+12$ and $m\angle B=10x-6$ , determine the value of x that supports

u\parallel v

.

a)

2

b)

7

c)

9

d)

12

31.

Which lines are parallel, and why?

a)

m || n because corresponding angles are congruent

b)

m || n because alternate interior angles are congruent

c)

p || q because corresponding angles are congruent

d)

p || q because alternate interior angles are congruent

32.

Which lines are parallel, and why?

a)

m || n because corresponding angles are congruent

b)

m || n because alternate interior angles are congruent

c)

p || q because corresponding angles are congruent

d)

p || q because alternate interior angles are congruent

33.

Which lines are parallel, and why?

a)

m || n because corresponding angles are congruent

b)

m || n because alternate interior angles are congruent

c)

p || q because corresponding angles are congruent

d)

p || q because alternate interior angles are congruent

34.

Which condition would prove s || t?

a)

Angle 1 is 108 degrees.

b)

Angle 2 is 108 degrees.

c)

Angle 3 is 72 degrees.

d)

Angle 1 is 72 degrees.

e)

Angle 2 is 72 degrees.

35.

Which condition would prove u || v?

a)

Angle 1 is 108 degrees.

b)

Angle 2 is 108 degrees.

c)

Angle 3 is 72 degrees.

d)

Angle 1 is 72 degrees.

e)

Angle 2 is 72 degrees.

36.

Which condition would prove a || b ?

a)

Angle 1 is 60 degrees.

b)

Angle 2 is 120 degrees.

c)

Angle 3 is 120 degrees.

d)

Angle 1 is 120 degrees.

e)

Angle 3 is 60 degrees.

37.

Which condition would prove g || h ?

a)

Angle 1 is 60 degrees.

b)

Angle 2 is 120 degrees.

c)

Angle 3 is 120 degrees.

d)

Angle 1 is 120 degrees.

e)

Angle 3 is 60 degrees.

38.

Which line is parallel to c ?

a)

a

b)

b

c)

d

d)

none

39.

According to the angle measurements given, which lines are parallel?

a)

e || f

b)

e || g

c)

e || h

d)

f || g

e)

f || h

40.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Consecutive Int. Angles Converse

e)

Not Enough Information to Prove Parallel

41.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Not Enough Information to Prove Parallel

e)

Vertical Angles Theorem

42.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Consecutive Interior Angles Converse

e)

Not Enough Information to Prove Parallel

43.

Which of the following is the reason the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Consecutive Int. Angles Converse

e)

Not Enough Information to Prove Parallel

44.

What is the reason the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Consecutive Int. Angles Converse

e)

Not Enough Information to Prove Parallel

45.

What is the reason the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Consecutive Int. Angles Converse

e)

Not Enough Information to Prove Parallel

46.

What is the reason the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Int. Angles Converse

c)

Alt. Ext. Angles Converse

d)

Consecutive Interior Angles Converse

e)

Vertical Angles

47.

Why are the two lines parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Consecutive Interior Angles Converse

e)

Linear Pair Postulate

48.

Why are the two lines parallel?

a)

Corresponding Angles Converse

b)

Consecutive Interior Angles Converse

c)

Alt. Ext. Angles Converse

d)

Alt. Ext. Angles Converse

e)

Not Enough Information to Prove Parallel

49.

Why are the two lines parallel?

a)

Corresponding Angles Converse

b)

Alt. Int. Angles Converse

c)

Alt. Ext. Angles Converse

d)

Consecutive Int. Angles Converse

e)

Not Enough Information to Prove Parallel

50.

What is the reason these two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Int. Angles Converse

c)

Alt. Ext. Angles Converse

d)

Vertical Angles Theorem

e)

Consecutive Int. Angles Converse

51.

Why are these two lines parallel?

a)

Vertical Angles Theorem

b)

Corresponding Angles Converse

c)

Alt. Int. Angles Converse

d)

Alt. Ext. Angles Converse

e)

Not Enough Information to Prove Parallel

52.

What value of x would make the lines parallel?

a)

13

b)

35

c)

37

d)

78

e)

102

53.

Which could be used to prove the lines are parallel?

a)

Corresponding

b)

Alternate Interior

c)

Linear Pair

d)

Cannot be proved parallel

54.

a)

No

b)

Yes, corresponding angles are congruent

c)

Yes, consecutive interior angles are congruent

d)

Yes, Alternate exterior angles are congruent

55.

a)

No

b)

Yes, corresponding angles are congruent

c)

Yes, consecutive interior angles are congruent

d)

Yes, Alternate interior angles are congruent

56.

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

57.

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

58.

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

59.

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

60.

a)

No

b)

Yes, Consecutive Interior angles are supplementary

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

61.

a)

No

b)

Yes, Consecutive Interior angles are supplementary

c)

Yes, Consecutive Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

62.

a)

$m\parallel n$ because Alternate Interior angles are congruent

b)

$p\parallel q$ because Alternate Interior angles are congruent

c)

$m\parallel n$ because Consecutive Interior angles are congruent

d)

Neither pair of lines is parallel

63.

a)

$m\parallel n$ because Alternate Exterior angles are congruent

b)

$p\parallel q$ because Alternate Exterior angles are congruent

c)

$p\parallel q$ because Corresponding angles are congruent

d)

Neither pair of lines is parallel

64.

a)

$m\parallel n$ because Corresponding angles are congruent

b)

$m\parallel n$ because Consecutive Interior angles are congruent

c)

$p\parallel q$ because Corresponding angles are congruent

d)

Neither pair of lines is parallel

65.

a)

$m\parallel n$ because Alternate Exterior angles are congruent

b)

$m\parallel n$ because Alternate Interior angles are congruent

c)

$p\parallel q$ because Alternate Interior angles are congruent

d)

Neither pair of lines is parallel

66.

a)

Converse of Corresponding Angles Postulate

b)

Corresponding Angles Postulate

c)

Converse of Consecutive Interior Angles Theorem

d)

Converse of Alternate Interior Angles Theorem

67.

a)

Consecutive Interior Angles Theorem

b)

Converse of Consecutive Interior Angles Theorem

c)

Converse of Alternate Interior Angles Theorem

d)

Converse of Corresponding Angles Theorem

68.

a)

Yes, vertical angles are congruent

b)

No, vertical angles are not enough to prove lines parallel

c)

Yes, corresponding angles are congruent

d)

Yes, alternate interior angles are congruent

69.

a)

Yes, corresponding angles are congruent

b)

Yes, alternate exterior angles are congruent

c)

Yes, alternate interior angles are congruent

d)

No, those angles have no relationship

70.

a)

$100\degree$ - Consecutive Interior Angles are congruent

b)

$80\degree$ - Consecutive Interior Angles are supplementary

71.

a)

$126\degree$ - Corresponding Angles are congruent

b)

$54\degree$ - Corresponding Angles are supplementary

c)

$126\degree$ - Alternate Interior Angles are congruent

72.

a)

$71\degree$ - Alternate Exterior Angles are congruent

b)

$109\degree$ - Alternate Exterior Angles are supplementary

c)

$71\degree$ - Alternate Interior Angles are congruent

73.

a)

$97\degree$ - Alternate Exterior Angles are congruent

b)

$83\degree$ - Alternate Exterior Angles are supplementary

c)

$97\degree$ - Corresponding Angles are congruent

74.

a)

x = 6

b)

x = 10

c)

x = 30

d)

x = 5

75.

a)

x = 7

b)

x = 3

c)

x = 1/7

d)

x = 9

76.

a)

x = 72/17

b)

x = 12

c)

x = 6

d)

x = 4.2

77.

a)

x = 8

b)

x = 68/9

c)

x = 12.4

d)

x = -3

Re-Assessment: Lesson 2-2 Proving Lines Parallel

Total questions: 77

Worksheet time: 1hrs 16mins

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