Question

Which of the following triangles is similar to the triangle shown below?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

In $\Delta PQR$ and $\Delta BAC$

$\frac{PQ}{AB}=\frac{QR}{AC}=\frac{RP}{CB}$

$\frac{1.4}{2}=\frac{2.8}{4}=\frac{3.5}{5}=0.7$

The sides PQ, QR and RP corresponds to AB, AC and CB respectively. Therefore, $\Delta BAC\sim \Delta PQR$.

In the case of other triangles, the corresponding sides are not proportional.