Question

question 2
what property could you use to show that triangles pqr and xyz are congruent?
sas
hl
asa
sss

Explanation:

• SAS (Side - Angle - Side): For SAS, we need two sides and the included angle. Here, we have right - angled triangles. If we consider the two legs (sides) and the right - angle (included angle), but the given markings show one leg and the hypotenuse.
• HL (Hypotenuse - Leg): In right - angled triangles (\(\angle Q=\angle Y = 90^{\circ}\)), if the hypotenuse (the side opposite the right - angle) and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two right - angled triangles are congruent. In \(\triangle PQR\) and \(\triangle XYZ\), we can assume the marked equal sides are a leg and the hypotenuse.
• ASA (Angle - Side - Angle): We need two angles and the included side. We only know one angle (the right - angle) from the figure's markings.
• SSS (Side - Side - Side): We need all three sides. The figure only shows two sides (one leg and the hypotenuse) as equal from the markings.

Answer:

HL