Parallel Lines and Angles

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

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

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

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

m. If m∠3 = 78°, what is m∠6?

A triangle is shown above. What is x?

• 34

• 126

• 54

• 134

A triangle is shown above. What is y?

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

• 53°

• 123°

• 57°

• 237°

What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (–2, 3)?

What is the slope of a line parallel to the line y = 5x – 1?