Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - Chapter Review - Page 275: 21

Answer

In these two triangles, two consecutive angles on each of the triangles are congruent. One side is also congruent. Therefore, we can prove that these triangles are congruent using the AAS theorem, which states that if two angles and the side of one triangle are congruent to two angles and one side of another triangle, then those two triangles are congruent. We can say that $\triangle TVY$ is congruent to $\triangle YWX$. Congruent triangles have congruent sides, so $\overline{TV} ≅ \overline{YW}$.

Work Step by Step

--
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.