Question

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

• A. $△ABC\sim △PQR$
• B. $△ABC\sim △QPR$
• C. $\angle ACB=\angle QRP$
• D. $\angle BAC=\angle QPR$

Answer 1

Answer: (B), (C)

$\angle ACB=\angle QRP$

From the given picture;$\angle A$ = $\angle Q$, $\angle B$ = $\angle P$
$\therefore$ $\angle C$ = $\angle R$ ($\because$ Sum of angles in a triangle is 180${}^{\circ }$)
$\Rightarrow \angle ACB=\angle QRP$
$\therefore △ABC\sim △QPR$ .