Question

how can you prove that the following triangles are congruent?
o sss
o sas
o asa
o aas
o hl
o cannot be determined

Explanation:

Step1: Identify triangle type

The triangles are right - angled as indicated by the right - angle symbols.

Step2: Analyze markings

There is one pair of congruent legs (marked with single tick) and the hypotenuse is common to both triangles.

Step3: Recall congruence criteria

The Hypotenuse - Leg (HL) congruence criterion is for right - angled triangles where the hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of another right - triangle.

Answer:

HL