Elementary Geometry for College Students (6th Edition)

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

Chapter 1 - Section 1.5 - Introduction to Geometric Proof - Exercises - Page 43: 31

Answer

Statements 1. M-N-P-Q on $\overline{MQ}$ 4. MN+NP+PQ=MQ Reasons 1. Given 2. Segment Addition Postulate 3. Segment Addition Postulate

Work Step by Step

Statements 1 is given in the problem. Statements 2 and 3 use the Segment Addition Postulate in different combinations along line MQ. Statement 4 is the desired conclusion that can be proven with the Substitution Property of Equality.
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