Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - Common Core Cumulative Standards Review - Selected Response - Page 347: 9



Work Step by Step

We have two consecutive lines congruent in the two triangles plus an included angle that is congruent. Thus, the two triangles can be proven to be congruent by the side-angle-side theorem. The SAS theorem states that if two lines and an included angle of one triangle is congruent to two lines and an included angle of another triangle, then those triangles are congruent. This corresponds to option $C$.
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