Question

$△ABC\cong △PQR$.
Which of the following are correct?

• A. $AB=PQ$
• B. $AC=QR$
• C. $m\angle A=$ $m\angle R$
• D. $m\angle B=$ $m\angle Q$

Answer 1

Answer: (A), (D)

$m\angle B=$ $m\angle Q$

$\underset{–}{\text{Congruent Triangles}}$ :
Two triangles are said to be congruent if they are of the same shape and size.

$\text{Note -}$ All the sides and angles of a triangle are equal to the corresponding sides and angles of its congruent triangle.

Given that $△ABC\cong △PQR$.
$\bullet$ $AB=PQ$
$\bullet$ $BC=QR$
$\bullet$ $AC=PR$
$\bullet$ $m\angle A$ $=$ $m\angle P$
$\bullet$ $m\angle B$ $=$ $m\angle Q$
$\bullet$ $m\angle C$ $=$ $m\angle R$

Hence, options (a.) and (d.) are correct.