Elementary Geometry for College Students (6th Edition)

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

Chapter 5 - Review Exercises - Page 263: 28


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.
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