Question

Use a paragraph proof to prove the alternate interior angles theorem.

Given: line AB is parallel to line CD

Prove: Alternate interior angles are congruent

Answer 1

angle 2 = angle 6 (corresponding angles AB is parallel CD)
also angle 2 = angle 4 ( opposite angles)
therefore alternate angles 4 and 6 are equal

by a similar argument alternate angles 3 and 5 are also equal

Answer 2

i'm not sure the descriptions of angles are same as mine ( i'm from uk)

Answer 3

eg i think in US opposite angles are vertical angles??