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:constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

B:constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and ∠C ≅ ∠Z

C:constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X

D:constructing ΔABC so that CA ≅ ZX, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

E:constructing ΔABC so that ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z

A, C, D is the correct answer

Step-by-step explanation:

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