Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - Chapter Test - Page 277: 7

Answer

We can use the ASA postulate to prove that the two triangles are congruent.

Work Step by Step

1. One angle in one triangle is marked congruent to an angle in another triangle. 2. A line from one triangle is marked congruent to a line from another triangle. 3. An angle formed partly by the congruent side of one triangle is congruent to an angle formed partly by the congruent side of another triangle because the two angles are vertical angles, which are always congruent to one another. Now, we have two angles and an included side on one triangle congruent to two angles and an included side on another triangle; therefore, we can use the ASA postulate to prove that the two triangles are congruent.
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