Question

Give the reason that justifies each statement in the proof below.GIVEN 21= 22, 23= 24PROVEAB CDStatements21 22, 23 2422 2321 24AB || CDReasons

Answer 1

First, angle 2 and angle 3 are congruent because they are vertical, and vertical angles are congruent.

Nexte, we have that angle 1 and angle 4 are congruent because the alternate exterior angle theorem.

Finally, we can conclude that AB is parallel to CD using the Transitive POC