CPM Homework Help : GB8I Problem 11-128

Are the two triangles below congruent? If so, give a congruence condition and a series of rigid transformations to justify your answer.

Triangle A,B,C, labeled as follows: side A,B, 10, angle A, 32 degrees, angle B, 75 degrees.

Triangle P,Q,T, labeled as follows: side P,T, 10, angle P, 75 degrees, angle T, 32 degrees.

Answer:

These triangles are congruent by $ASA≅$ . Translate point $T$ to point $A$ , then rotate $ΔT'P'Q'$ about point $T'$ so that $AB$ and $T''P''$ coincide.