Question

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

a. SSS
b. SAS
c. AAS
d. ASA

Answer 1

D. ASA

Explanation:

Answer 2

Correct answer is D. ASA

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.