Question

which triangle congruence theorem can be used to prove the triangles are congruent?

Explanation:

Step1: Analyze the given triangles

We have two right - angled triangles \(\triangle DNO\) and \(\triangle PNO\). The hypotenuse \(DO = PO\) (given by the mark) and the leg \(NO\) is common to both triangles.

Step2: Recall the HL (Hypotenuse - Leg) theorem

The HL (Hypotenuse - Leg) theorem states that if the hypotenuse and a leg of one right - angled triangle are equal to the hypotenuse and a leg of another right - angled triangle, then the two right - angled triangles are congruent.

Answer:

HL (Hypotenuse - Leg)