Question

1. Problem 2.7 on page 28 (modified): Let ABCD be a quadrilateral such that AB||CD. (a) Prove that ?C = ?D if and only if AD = BC. (b) Prove that if AD < BC, then ?C < ?D In the book, there is a misprint in the statement. Be sure to prove the one on this handout and not the one in the book. This one may be a bit challenging. Once you see how to do the first part, you should quickly be able to see how to do the second part. Let me know if you need any hints.

          1. Problem 2.7 on page 28 (modified): Let ABCD be a quadrilateral such that AB||CD.
(a) Prove that ?C = ?D if and only if AD = BC.
(b) Prove that if AD < BC, then ?C < ?D
In the book, there is a misprint in the statement. Be sure to prove the one on this handout and not the one in the book.
This one may be a bit challenging. Once you see how to do the first part, you should quickly be able to see how to do the second part. Let me know if you need any hints.