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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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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