Question

definition of ≅ △s
side-side-side (sss)
side-angle-side sas
angle-angle-side (aas)
angle-side-angle (asa)
hypotenuse-leg (hl)

Explanation:

Step1: Analyze the triangles

Both triangles are right - angled (right - angle symbol), and the hypotenuse of each triangle is \(5\) cm (marked with a tick).

Step2: Recall the Hypotenuse - Leg (HL) congruence criterion

For right - angled triangles, if the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent. Here, the hypotenuse is given as \(5\) cm for both triangles (the side opposite the right - angle). Although the leg is not explicitly marked as equal in length in terms of a numerical value other than the hypotenuse, in the context of congruence criteria for right - angled triangles, when we know the hypotenuse is equal (as given by the same length \(5\) cm) and they are both right - angled (so we can assume the right - angle is a 'leg - like' condition in the HL sense, since the right - angle is part of the triangle's structure for HL application), the HL criterion is applicable.

Answer:

Hypotenuse - Leg (HL)