Question

In the given figure, if $\angle B=\angle Q$, then _____.

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

Answer 1

The correct option is A

$△ABC\sim △PQR$

$In△ABCand△PQR$,

$\frac{AB}{PQ}=\frac{10}{5}=2$
$\frac{BC}{QR}=\frac{5}{2.5}=2$

$\Rightarrow \frac{AB}{PQ}=\frac{BC}{QR}$

$\angle B=\angle Q$ (given)

$\therefore$ $△ABC\sim △PQR$ (by SAS similarity criterion)