Question

Which of the following congruency rule satisfies congruency of both given triangles using given information only.

• A. Side-Side-Side
• B. Side-Angle-Side
• C. Angle-Side-Angle
• D. Hypotenuse Leg Congruency

Answer 1

The correct option is D Hypotenuse Leg Congruency

In the given figure,
$PR=XZ\left(\text{Hypotanuse of both}△\right)$
$QR=XY\left(\text{side of both}△\right)$
$\angle Y=\angle Q={90}^o$

So these triangles are congruent to each other by Hypotenuse leg congruency postulate.

Hence, option $\left(d\right)$ correct.