Question

Which Postulate/Theorem below would prove that the triangles shown below are congruent?

Answer 1

Answer:

Correct answer is D. ASA

Step-by-step explanation:

Let us first define ASA congruence rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.

In the question figure, we can figure out following conclusions from Triangles $\triangle SRT\text{ and }\triangle WXY$ respectively:

1. $\angle TRS = \angle YXW$
2. Side RS = Side WX
3. $\angle TSR = \angle YWX$  

As per the definition of option d) ASA congruence, the triangles are congruent.