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: 30

Answer

△FGK and △KLF are congruent using Postulate 4-2 Side-Angle-Side (SAS) Postulate

Work Step by Step

Proof: FG ≅ KL - given (Side) FG ‖ KL - given ∠GFK ≅ ∠LKF - Alternate Interior Angles (Angle) FK ≅ KF - Reflexive Property of Congruence (Side) △FGK ≅ △KLF - Postulate 4-2 Side-Angle-Side (SAS) Postulate
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