Q166
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 = 1/2 (QR) III. ST is parallel to QR.
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 = (QR)
III. ST is parallel to QR.
I. Triangle PST is similar to triangle PQR.
II. ST = (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
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
Triangle PST is similar to triangle PQR
[By AAA]
By mid point theorem.
ST = (QR)
ST is parallel to QR.
All I, II and III are true.