Question

ΔQRS is a right triangle.

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle.

Select the correct similarity statement.

Answer 1

ΔSRQ ∼ ΔSRT ∼ ΔTRQ.

Reason: The altitude RT makes right angles at R and T, so each small triangle shares one acute angle with the original triangle; thus all three right triangles are similar (corresponding right angles and matching acute angles).