Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-7 Congruence in Overlapping Triangles - Practice and Problem-Solving Exercises - Page 271: 29

Answer

$\triangle$DEF is congruent to $\triangle$GFE by SAS (Side-Angle-Side).

Work Step by Step

Each triangle contains a pair of congruent sides, which are marked by dashes, and a congruent angle (also marked). The sides on each triangle forms the angle, so the triangles are congruent by SAS (which stands for Side-(Included)Angle-Side) theorem.
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