Lines Cut by a Transversal Answers

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Which diagram shows parallel lines cut by a transversal?

Option

♣ = ♦ = ♠ =

given

linear pair postulate

transitive property

♣ = ♦ = ♠ =

converse alternate interior angles theorem

converse corresponding angles theorem

converse alternate exterior angles theorem

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply.

x = z

x + y = 180°

x + z = 180°

x = y

z = 180°

Which lines are parallel? Justify your answer.

Lines p and q are parallel because same side interior angles are congruent.

Lines p and q are parallel because alternate exterior angles are congruent

Lines l and m are parallel because same side interior angles are supplementary

Lines l and m are parallel because alternate interior angles are supplementary.

♣ = ♦ = ♠ =

same side interior angles theorem

alternate interior angles theorem

vertical angles are congruent

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