G.2b Parallel Lines

Examine the diagram below, where lines m and n are parallel. Which is a valid conclusion and valid reasoning based on the diagram?

• ∠4 and ∠6 are congruent because corresponding and vertical angles are congruent.

• The measures of ∠5 and ∠7 have a sum of 180° because same-side exterior angles are supplementary.

• ∠2 and ∠7 are congruent because alternate interior angles are congruent.

• ∠2 and ∠3 are congruent because same-side interior angles are congruent.

Tags

CCSS.8.G.A.5

The railroad track represents a transversal to the lines that represent the sides of Pine Street. The sides of the streets are parallel. Which statement is justified by the Consecutive Exterior Angles Theorem?

• ∠4 ≅ ∠6

• ∠1 ≅ ∠7

• ∠3 and ∠6 are supplementary.

• ∠2 and ∠7 are supplementary.

Tags

CCSS.8.G.A.5

A wooden gate has z-shaped boards for support, as shown. Which of the following statements is true?

• m∠1 + m∠2 = 180

• m∠1 + m∠2 = 2(m∠2 )

• m∠2 - m∠1 = 2(m∠1 )

• m∠1 + m∠2 = 90

Tags

CCSS.7.G.B.5

Which of the following does NOT necessarily represent line l parallel to line m and intersected by line t?

• 
• 
• 
• 

Tags

CCSS.8.G.A.5

If line m is parallel to line n, find m∠EFG .

• 20°

• 100°

• 72°

• 108°

Tags

CCSS.8.G.A.5

Transversal r intersects ST and PQ as shown. Which value of x would make ST ∥PQ?

• 2 ½

• 19

• 25 5/7

• 63 ⅓

Tags

CCSS.8.G.A.5

Given: a ∥ c

What is the value of x?

• 75

• 85

• 95

• 105

Tags

CCSS.8.G.A.5

If p ∥ q , what is m∠ACD?

• 122°

• 17°

• 67°

• 58°

Tags

CCSS.8.G.A.5

Given a ∥ b, find the value of x.

• 9

• 9.6

• 87

• 93

Tags

CCSS.8.G.A.5

In the diagram below, line m is parallel to line n . Find the value of x and y.

• x = 14.1 and y = 62

• x = 50 and y = 130

• x = 9 and y = 50

• x = 9 and y = 130

Tags

CCSS.8.G.A.5