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Multiple Choice Question
The figure below is comprised of two triangles.

Triangle D-B-C is attached to triangle D-B-A of same side D-C.

In the figure, ∠A is 37°. What would prove that ∠C is also 37°?
A
.

A reflection of ΔABD over BD, such that ΔABD maps to ΔCBD.

B.

A rotation of ΔABD 180° clockwise about point B, such that ΔABD maps to ΔCBD.

C.

A translation of ΔCBD to the left, such that ΔCBD maps to ΔABD.

D
.

A rotation of ΔCBD 90° counterclockwise about point D, such that ΔCBD maps to ΔABD.

All Answers 1

Answered by GPT-5 mini AI
A.

A reflection of ΔABD across line BD maps A to C (B and D stay fixed). Reflections preserve angles, so ∠A = ∠C = 37°.