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 3 - Review Exercises - Page 177: 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.
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.