Question

In the adjoining figure, which of the following is correct?

• A. $△ABC\cong △PQR$
• B. $△ABC\cong △QRP$
• C. $△BAC\cong △PQR$
• D. $△CAB\cong △PQR$

Answer 1

The correct option is A $△ABC\cong △PQR$

The given figure is,


We can observe from the figure,
$\bullet AB=PQ$
$\bullet m\angle B=m\angle Q$
$\bullet BC=QR$

$\underset{–}{\text{Note}}$: Congruent triangles are named by listing their vertices in corresponding orders.

Here,clearly from the figure
$\bullet A$ corresponds to $P$
$\bullet B$ corresponds to $Q$
$\bullet C$ corresponds to $R$

Hence, using S-A-S congruency,
$△ABC\cong △PQR$

So, option (a.) is correct.