Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 5 - Review Exercises - Page 274: 28

Answer

The proof is in the following form: Column 1 of proof; Column 2 of proof. Thus, we have: 1. The line is parallel to one of the other sides of the triangle; given. 2. The line creates a smaller triangle. The base angles of this smaller triangle are equal to the base angles of the larger triangle; when two parallel lines are intersected by the same transversal, corresponding angles are similar. 3. The large and smaller triangle are similar; AA similarity theorem 4. If the line bisects the first side, then it bisects the third side; corresponding parts of similar triangles are proportional.
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.