Question

Triangle QRS is a right triangle.

Answer 1

The answer is C.

∠STR = ∠SRQ = 90° (given) (A)
∠RST = ∠RSQ (common angle) (A)

By AA test for similarity,
∆STR is similar to ∆SRQ.

Answer 2

Answer:   C.  ΔSQR

Step-by-step explanation:

In $\triangle{STR}$ and $\triangle{SQR}$, we have

$\angle{TSR}\cong\angle{OSR}\\\\\angle{STR}\cong\angle{QRS}=90^{\circ}$

By AA- similarity postulate , we get

$\triangle{STR}\sim\triangle{SQR}$

• AA-similarity postulate says that two triangles are said to be similar if they have two corresponding angles that are congruent or equal in measure.