Proofs for Parallel Lines Cut by Transversal

2) Which statement represents what you have to prove from the question?

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What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem

If two lines are cut by a transversal, how might you show that the two lines are parallel?

• Show that the corresponding angles are congruent

• Show that the vertical angles are congruent

• Show that the alternate interior angles are congruent

• Show that the corresponding angles are supplementary

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

If it is given that p ∥ q, what are ALL correct statements that can be made?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior angles theorem

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• none of the above

• Transistive

• Substitution

• Def. of Cong.

Angles 1 and 5 prove lines parallel... true or false?

• true

• false

Which reason should go in step 3

• Same side interior theorem

• Corresponding angles theorem

• Alternate interior angles theorem

• Alternate exterior angles theorem

Line v is a transversal.  Which is a true statement?

• w // x and x // y

• w // x and y // z

• w // y and x // z

• w // z and x // y