Provide an appropriate response.In the figure below, BD = CD. Prove that m(?BAC) = 2 ? m(?BAD).
What will be an ideal response?
Answers will vary. A sample correct response would be as follows.
By the Pythagorean Theorem, CD2 + AC2 = AD2 and BD2 + AB2 = AD2. Since BD = CD and AD=AD, then AB =AC. By SSS, ?ACD ? ?ABD, and hence m?BAD = m?CAD.
Mathematics
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