PQR is a triangle. S and T are the midpoints of the sides PQ and PR respectively. which of the following is TRUE?
I. Triangle PST is similar to triangle PQR.
II. ST = $$\frac{1}{2}$$ (QR)
III. ST is parallel to QR.

A. Only I and II

B. Only II and III

C. Only I and III

D. All I, II and III

Answer: Option D

Solution (By Examveda Team)

Triangle PST is similar to triangle PQR

[By AAA]
By mid point theorem.
ST = $$\frac{1}{2}$$(QR)
ST is parallel to QR.
All I, II and III are true.