Question

ABCD is a rhombus. Explain why Triangle A B C is congruent to triangle C D A.

A rhombus is shown. Point A is in the upper right. Point B is in the upper left. Point C is in the lower right. Point D is in the lower left. The diagonal between A and C is drawn.
(6 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Triangle ABC is congruent to triangle CDA because they share a side (AC) and have two pairs of congruent angles. In a rhombus, opposite angles are equal, so angle A is congruent to angle C and angle B is congruent to angle D. Additionally, both triangles share side AC, so by the Side-Angle-Side (SAS) congruence theorem, triangle ABC is congruent to triangle CDA.