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Parallels Cut by a Transversal

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is 73, because the angles are congruent.

b)

The value of x is 107, because the angles are supplementary.

c)

The value of x is 17 because the angles are complementary.

d)

The value of x is greater than 90, because all angles in the diagrams are obtuse.

2.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is 75, because the angles are congruent.

b)

The value of x is 105, because the angles are supplementary.

c)

The value of x is 15 because the angles are complementary.

d)

The value of x is less than 90, because all angles in the diagrams are acute.

3.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is 87, because the angles are congruent.

b)

The value of x is 3 because the angles are complementary.

c)

The value of x is 93, because the angles are supplementary.

d)

The value of x is less than 90, because all angles in the diagrams are acute.

4.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is less than 90, because all angles in the diagrams are acute.

b)

The value of x is 11 because the angles are complementary.

c)

The value of x is 101, because the angles are supplementary.

d)

The value of x is 79, because the angles are congruent.

5.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is less than 90, because all angles in the diagrams are acute.

b)

The value of x cannot be determined.

c)

The value of x is 52, because the angles are supplementary.

d)

The value of x is 128, because the angles are congruent.

6.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is less than 90, because all angles in the diagrams are acute.

b)

The value of x is 115, because the angles are congruent.

c)

The value of x is 65, because the angles are supplementary.

d)

The value of x cannot be determined.

7.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is more than 90, because all angles in the diagrams are obtuse.

b)

The value of x is 35, because the angles are congruent.

c)

The value of x is 145, because the angles are supplementary.

d)

The value of x is 55, because the angles are complementary..

8.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is less than 90, because all angles in the diagrams are acute.

b)

The value of x is 47, because the angles are congruent.

c)

The value of x is 133, because the angles are supplementary.

d)

The value of x is 43, because the angles are complementary..

9.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is 83, because the angles are congruent.

b)

The value of x is more than 90, because all angles in the diagrams are obtuse.

c)

The value of x is 97, because the angles are supplementary.

d)

The value of x is 7, because the angles are complementary..

10.

In the diagrams below, lines k and m are parallel, and line v intersects k and m.


Based on the diagrams, which statement is true?

a)

The value of x is 43, because the angles are supplementary.

b)

The value of x is less than 90, because all angles in the diagrams are acute.

c)

The value of x is 138, because the angles are congruent.

d)

The value of x cannot be determined..