Elementary Geometry for College Students (5th Edition)

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

Chapter 1 - Section 1.5 - Introduction to Geometric Proof - Exercises - Page 45: 28

Answer

1. Given 2. The midpoint of a segment is equidistant from the two ends of the segment. 3. Segment-Addition Postulate 4. Substitution Property of Equality 5. Substitution or Distribution Property of Equality 6. Division Property of Equality

Work Step by Step

1. Given 2. The midpoint of a segment is equidistant from the two ends of the segment. 3. The sum of the two pieces ($\overline{DE}, \overline{EF}$) equals to $\overline{DF}$ 4. We can replace $\overline{EF}$ with $\overline{DE}$ because thy are egal. 5. DE + DE = $2\times DE$ 6. We divide the equality by 2 to prove the statement.
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.