## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 1 - Tools of Geometry - 1-3 Measuring Segments - Practice and Problem-Solving Exercises - Page 24: 16

#### Answer

They are congruent

#### Work Step by Step

To find the length of a segment on a number line, subtract the smaller point from the bigger point. We start with MP: $M=-3$ and $P=6$. Subtracting the smaller one from the bigger one gives $3-(-6)=3+6=9$. For NQ, $N=3$ and $Q=12$. Subtracting the smaller one from the bigger one gives $12-3=9$ These segments are congruent because they have an equal length.

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