Elementary Geometry for College Students (6th Edition)

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

Chapter 3 - Section 3.2 - Corresponding Parts of Congruent Triangles - Exercises - Page 136: 4


By AAS, $\triangle MNP \cong \triangle QRP$

Work Step by Step

Angle: $\angle MNP \cong \angle RQP$ (This is given in the question.) Angle: $\angle MPN \cong \angle RPQ$, since they are opposite angles Side: $\overline{MP} \cong \overline{RP}$, since P is the midpoint of $\overline{MR}$ Therefore, by AAS, $\triangle MNP \cong \triangle QRP$
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