Question

If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to ∠A?

∠C

∠X

∠Y

∠Z

Answer 1

The answer would be ∠X

Answer 2

Answer: ∠X

Explanation:

If ΔABC is congruent to ΔXYZ then their corresponding parts must be congruent by CPCTC.

To find the corresponding angle to ∠A, just check the position of A in the name of ΔABC,

A is the first letter in the name of ΔABC, thus the angle corresponding to ∠A is ∠X.

• CPCTC (congruent parts of corresponding angles are congruent) tells that if two triangles are congruent then the corresponding angles and sides are congruent .