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

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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