Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and its image after the triangle has been translated, reflected, rotated, and dilated. Is your friend correct? Explain your reasoning.

Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and its image after the triangle has been translated, reflected, rotated, and dilated. Is your friend correct? Explain your reasoning.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.1: Circles

Problem 46PS

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Question

Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply
to a triangle and its image after the triangle has been translated, reflected, rotated, and dilated. Is
your friend correct? Explain your reasoning.

Expert Solution

Step 1

We know by the SAS congruence theorem

Two sides and the included angle of one triangle are respectively equal to two sides and the included angle of the other

triangle.

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