8. Given: PQR and TSR are right triangles,R is the midpoint of PT, PQ ≈ STProve: PQR ≈ TSR

Let's begin by identifying key information given to us:
Angle RPQ is equal to Angle RTS (given)
R is the midpoint of QS (given); QR is equal to RS
Based on the Side-Angle-Side (SAS) theorem, which states that if two sides and an included angle of a triangle is equal to that of another triangle, then, both are