Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 147: 38

Answer

1. Since WY is congruent to WZ, WYZ is isosceles. 2. This means that angle Y equals angle Z. 3. Since M is a midpoint, this means that YM is congruent to MZ. 4. Because both angle X and angle T are 90 degrees and the two bisectors meet at the midpoint, it follows that XY equals TZ. 5. By Side-Angle-Side, triangle YMX is congruent to triangle MZT. 6. Thus, MX is congruent to MT.
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