Question

Knowing that triangle QPT = triangle ARZ, a congruent angle pair is:

a. ∠Q = ∠A

b. ∠P = ∠R

c. ∠T = ∠Z

d. None of the above

Answer 1

The correct answer is option a. ∆Q = ∆A, as the corresponding angles of congruent triangles ∆QPT and ∆ARZ are congruent based on their positions in the names of the triangles.

Step-by-step explanation:

In the context of a given triangle congruence, if triangle QPT is congruent to triangle ARZ, this means that both triangles are identical in shape and size, and each corresponding pair of angles and sides are also identical. When referring to congruent triangles, the order of the vertices in the names of the triangles matters as it indicates which angles and sides are corresponding. Therefore, the answer to the question which pair of angles is congruent would be:

• ∆Q = ∆A since Q corresponds to A in the naming of the congruent triangles.
• ∆P = ∆R
• ∆T = ∆Z

Since Q and A are the first letters in the names of each triangle, these are the corresponding angles that are congruent to each other. Hence, the correct answer is option a. ∆Q = ∆A.