Question

If Triangle RST is congruent to triangle NPQ, which of the following is true?

A.)Angle R is congruent to angle P
B.)Angle R is congruent to angle Q
C.)Angle T is congruent to angle P
D.) Angle T is congruent to angle Q

Answer 1

D.) Angle T is congruent to angle Q

Answer 2

Answer: D.) Angle T is congruent to angle Q

Explanation:

We know that if two triangles are congruent then their corresponding parts are congruent (CPTC).

Thus, if triangle RST is congruent to triangle NPQ.

Then by CPCTC, their corresponding angles are congruent.

Angle R is congruent to angle N

Angle S is congruent to angle P

Angle T is congruent to angle Q

Hence, D is the right option.