body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

Core Connections Integrated II, 2015 View details

3. Section 2.3

Continue to next subchapter

Exercise 96 Page 121

What can you say about ∠ C?

Yes, they are. See solution.

Practice makes perfect

From the diagram we see that △ ACB and △ DCE are both right triangles. Also, they share ∠ C as an angle.

By the Reflexive Property of Congruence, we know that this angle is congruent as well in our triangle. Since two pairs of angles in our triangles are congruent, we know by the Angle-Angle Similarity Theorem that the triangles are similar.