Answer:
Triangle PQS and is a reflection of triangle RQT, so the triangles are congruent by SSS.
Step-by-step explanation:
The third statement will prove a congruence between the given triangles.
Basically, beacuse it implies a reflection, which is a rigid transformation, that is, the shape of size of the triangles won't change. And if they don't change their form or size, they'll be equal by Side-Side-Side postulate.
Other choices implies a dilation which change their size, and the wrong postulate AAA.
Also, from the image you can observe that one triangle is a reflection of the other across a vertical axis that passes through point Q. That's another reason why reflection is the accurate way to prove the congruence.
Therefore, the right choice is the third option.
