Question

For the given triangles, which of the following is true?

• A. $△ABC\sim △PQR$
• B. $△ABC\sim △QPR$
• C. $△BAC\sim △PQR$
• D. $△BAC\sim △QPR$

Answer 1

Answer: (B), (C)

The correct options are
B $△ABC\sim △QPR$
C $△BAC\sim △PQR$

In both the given triangles,

$\angle A$ = $\angle Q$
$\angle B$ = $\angle P$
and $\angle C$ = $\angle R$

[Since two angles are equal, the third angle will also be equal because the sum of the angles in a triangle is ${180}^{\circ }$].

We know that if in two triangles, the corresponding angles are equal then the triangles are similar.

Hence, $△ABC\sim △QPR$ and $△BAC\sim △PQR$, both the conventions are correct.