Angles Relationships with Parallel and Perpendicular Lines

Which statement is true about parallel lines?

• They intersect and are coplanar

• They intersect, but are not coplanar

• They do not intersect, but are coplanar

• They do not intersect and are not coplanar

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Lines and m are intersected by transversal t. ∥

m. Which of the following angles are supplementary to ∠4? Select all that apply.

• ∠5

• ∠6

• ∠7

• ∠8

Lines and m are intersected by transversal t. ∥
 m. Which of the following angles are congruent to ∠8? Select all that apply.

• ∠1

• ∠2

• ∠3

• ∠4

Tags

CCSS.8.G.A.5

Lines and m are intersected by transversal t. ∥

m. By which postulate or theorem is ∠3 ≅ ∠7?

• Alternate Exterior Angles Theorem

• Alternate Interior Angles Theorem

• Corresponding Angles Theorem

• Same-Side Interior Angles Postulate

Tags

CCSS.8.G.A.5

Lines ℓ and m are intersected by transversal t. ℓ ∥

m. If m∠3 = 78°, what is m∠6?

Tags

CCSS.8.G.A.5

Which two equations relate the measure of ∠4 to the measures of ∠1, ∠2, and/or ∠3.

• m∠4 = m∠1 + m∠2

• m∠4 = m∠2 + m∠3

• m∠4 = 180° – (m∠1 + m∠2)

• m∠4 = 180° – m∠3

Tags

CCSS.8.G.A.5

A triangle is shown above. What is x?

• 34

• 126

• 54

• 134

Tags

CCSS.8.G.A.5

A triangle is shown above. What is y?

Tags

CCSS.8.G.A.5

A triangle is shown above. Which of the following statements are true? Select all that apply.

• x = y

• x + y = 180

• y = z

• x + z = 180

Tags

CCSS.8.G.A.5

In ΔDEF, m∠D = 35° and m∠F = 88°. What is m∠E?

• 53°

• 123°

• 57°

• 237°

Tags

CCSS.8.G.A.5