Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 3 - Review Exercises - Page 172: 6

Answer

1. It is given than B is the midpoint of AC. 2. By the definition of midpoint, AB and BC are congruent. 3. It is given that the midpoint forms a right angle. 4. Thus, by SAS, the two triangles are congruent. 5. When two triangles are congruent, opposite sides are congruent. 6. Thus, it follows that AD is congruent to DC. 7. When two legs are congruent, the triangle is isosceles. 8. Thus, ADC is isosceles.
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