Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 186: 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.
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