Question

If $\Delta ABC$ and $\Delta PQR$ are to be congruent, name one additional pair of corresponding parts. Which criterion did you use?
(3 marks)

Answer 1

Given, $\Delta ABC$ and $\Delta PQR$ are congruent with,

$\angle B=\angle Q={90}^{\circ }$

$\angle C=\angle R$ (1 mark)

For $\Delta ABC$ and $\Delta PQR$ to be congruent, the side in between the equal angles needs to be equal.
$\overline{BC}=\overline{QR}$

$\Rightarrow \Delta ABC$ and $\Delta PQR$ are congruent by ASA congruence rule. (1 mark)

Then one additional pair is BC = QR. (1 mark)