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To prove that the Side-Angle-Side similarity criterion is true using transformations, start with the given information, AB=AC and A = D, and prove AABC-ADEF. Apply a translation to AABC so that the image of A is ☐DÉ. and the image of C is on DE EF. DE Then apply reflections and rotations so that the image of B is on DF EF Finally, apply a dilation with center at B. D. D c D E ☐D OF ☐E. DF and scale factor DE AB

To prove that the Side-Angle-Side similarity criterion is true using transformations, start with the given information, AB=AC and A = D, and prove AABC-ADEF. Apply a translation to AABC so that the image of A is ☐DÉ. and the image of C is on DE EF. DE Then apply reflections and rotations so that the image of B is on DF EF Finally, apply a dilation with center at B. D. D c D E ☐D OF ☐E. DF and scale factor DE AB

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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To prove that the Side-Angle-Side similarity criterion is true using transformations, start with the given information, DD and <A = <D, and prove AABC-ADEF. E. ☐F. ☐DÉ Then apply reflections and rotations so that the image of B is on DF DÉ. EF and the image of C is on DF ☐ EF. Apply a translation to AABC so that the image of A is ■ Finally, apply a dilation with center at ☐ D ロロ B. ☐D. E and scale factor
Transcribed Image Text:To prove that the Side-Angle-Side similarity criterion is true using transformations, start with the given information, DD and <A = <D, and prove AABC-ADEF. E. ☐F. ☐DÉ Then apply reflections and rotations so that the image of B is on DF DÉ. EF and the image of C is on DF ☐ EF. Apply a translation to AABC so that the image of A is ■ Finally, apply a dilation with center at ☐ D ロロ B. ☐D. E and scale factor
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