Identifying Constructions That Produce Congruent Triangles
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.
constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX
constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and ∠C ≅ ∠Z
constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X
constructing ΔABC so that CA ≅ ZX, ∠B ≅ ∠Y, and ∠C ≅ ∠Z
constructing ΔABC so that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z