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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

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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