Question

in the figure shown, ∠prs and ∠spq are right - angles and m∠spr = 40°. choose all true statements. a. △spr∼△pqr by aa b. △spq∼△qrp by aa c. △spq∼△pqr by aa d. △spq∼△srp by aa e. △pqr∼△spq by aa

Explanation:

Step1: Identify right - angled triangles

$\angle PRS = \angle SPQ=90^{\circ}$

Step2: Analyze common angles

In $\triangle SPQ$ and $\triangle SRP$, $\angle S$ is common. By AA (Angle - Angle) similarity criterion, $\triangle SPQ\sim\triangle SRP$.

Answer:

D. $\triangle SPQ\sim\triangle SRP$ by AA