Answer: C. ΔPQS ~ ΔQRS
Step-by-step explanation:
In the given picture, we can see Δ PQS is a right triangle right angled at Q, with R as altitude.
Thus, Δ PQR and ΔQRS are right triangles right angles at R.
Now, In Δ PQS and ΔQRS
∠ PSQ=∠RSQ and ∠PQS=∠QRS → corresponding angles are equal
⇒ΔPQS ~ ΔQRS [by AA similarity criteria]
Rest of other options do not have corresponding angles congruent .
