Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 197: 28


1. The kite creates two triangles. The bottom two triangles share a side, which is congruent to itself by the identity property. 2. The other two sides of the bottom two triangles are congruent because it is a kite. 3. To form a congruent triangle by ASA, this means that the triangles must have congruent angles, which only happens if the diagonals bisect both of angles. 4. If the triangles were not congruent, then the corresponding sides would not be congruent. 5. Corresponding sides are always congruent for kites. 6. Thus, the diagonals bisect both angles they go through.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.