Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee that ΔXYZ ≅ ΔABC? Check all that apply.

A guarantees congruence by SSS: all three corresponding sides match. C gives two corresponding sides and the included angle (SAS), since ∠A lies between AB and AC. D gives two corresponding angles and a corresponding side (AAS), which determines the triangle. B is SSA, which can produce different triangles, and E is AAA, which guarantees similarity but not necessarily congruence.

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