Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-2 Triangle Congruence by SSS and SAS - Practice and Problem-Solving Exercises - Page 232: 28

Answer

△GJK and △GMK are congruent using Postulate 4-2 Side-Angle-Side (SAS) Postulate

Work Step by Step

Proof: GJ ≅ GM - given (Side) GK bisects ∠JGM - given ∠KGM ≅ ∠KGJ - Angle-Bisector Theorem (Angle) GK ≅ GK - Reflexive Property of Congruence (Side) △GJK ≅ △GMK - Postulate 4-2 Side-Angle-Side (SAS) Postulate
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