Question

If $\Delta PQR\sim \Delta MNO$, then which of the following is always true?

• A. $\angle PQR=\angle MON$
• B. $\angle PRQ=\angle MNO$
• C. $\angle RQP=\angle ONM$
• D. $\angle QRP=\angle MNO$

Answer 1

The correct option is C $\angle RQP=\angle ONM$

Given: $\Delta PQR\sim \Delta MNO$
Two triangles are similar if
(i) their corresponding angles are equal and
(ii) their corresponding sides are in the same ratio (or proportion)
Here, P ↔ M, Q ↔ N and R ↔ O.
$\therefore \angle RQP=\angle ONM$
Hence, the correct answer is option (3).