Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-3 Measuring Segments - Practice and Problem-Solving Exercises - Page 24: 18

Answer

Not congruent

Work Step by Step

To find the length of a segment on a number line, subtract the smaller point from the bigger point. Starting with LP, we know that $L=-8$ and P=6. Subtracting the smaller one from the bigger one gives: $6-(-8)=6+8=14$. For MQ, $M=-3$ and Q=12. Subtracting the smaller one from the bigger one gives: $12-(-3)=12+3=15$ These segments are not congruent because they don't have an equal length.
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