Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 3 - Review Exercises - Page 165: 1

Answer

$\triangle$AEB is congruent to $\triangle$DEC by Angle-Side-Angle (ASA)

Work Step by Step

1.It is given that $\overline{AE}$ is congruent to $\overline{ED}$. 2.It is also given that $\angle$AEB is congruent to $/angle$CED 2.$\angle$A is congruent to $\angle$D because of Theorem $3:3:3$ 3.Since we have two angles and the side between them, we can solve this equation using ASA. 4.Therefore, $\triangle$AEB is congruent to $\triangle$DEC by Angle-Side-Angle (ASA)
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