RQ is a perpendicular bisector to PS at Q between P and S. ∠SPR ≅ ∠PSR. How can you immediately conclude that △PQR ≅ △SQR

Question

Would this be congruent by AAS, if it isn't, then can you explain.

Thank you

Answer 1

You immediately know so much it is hard to choose which is easiest.

You know immediately that 3 legs of the 2 triangles are equal each to each

You have 2 legs of a right triangle or a hypotenuse and a leg.

Any of those will suffice.