Question

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

angle r is congruent to angle P
angle r is congruent to angle q
angle t is congruent to angle q

Answer 1

angle t is congruent to angle q

Step-by-step explanation:

we know that

If triangle RST is congruent to triangle NPQ

then

the corresponding sides and corresponding angles are congruent

so

RS=NP

ST=PQ

TR=QN

m<r=m<n

m<t=m<q

m<s=m<p

Answer 2

The correct answer is: angle T is congruent to angle Q

Step-by-step explanation:
Congruent angles are the angles that have the same measure.

Both of the above triangles are right-angled triangles.
In the triangle given above (on left side), the measure of angle T (m∠T) = 90°
In the triangle given above (on right side), the measure of angle Q (m∠Q) = 90°

Hence, we can say that angle T is congruent to angle Q (which is the third choice)