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 - Lesson Check - Page 230: 3


Side-Angle-Side Postulate

Work Step by Step

The diagram given shows two pairs of congruent sides. Both triangles also share a vertex. The angles that are across from each other on both triangles that share that vertex are congruent by the Vertical Angles Theorem. Those angles are the included angles so the Side-Angle-Side Postulate can be used to prove that the two triangles are congruent.
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