Question

Right 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, forming a right angle.

Which similarity statement is true?
ΔSRQ ~ ΔTRS
ΔSRQ ~ ΔRTQ
ΔSRQ ~ ΔRTS
ΔSRQ ~ ΔQRT

Answer 1

2nd and 3rd options are correct

Explanation:

the altitude (height) slips the main triangle into 2 snake triangular that are both similar to the original main triangle.

since R is the original right angle, T must be the right angle for the similar triangles and therefore in the middle of the vertex triple, as R is in the middle of vertex triple of the main triangle.

triangle SRQ ~ triangle RTQ

triangle SRQ ~ triangle RTS

it is confusing as the problem description phrased it as if there is only one correct answer. but there are 2.

Answer 2

B.) ΔSRQ ~ ΔRTQ