determine the relationship between the two triangles and whether or not they can be proven to be…

determine the relationship between the two triangles and whether or not they can be proven to be congruent.\n\nthe two triangles are related by ____, so the triangles ____.

determine the relationship between the two triangles and whether or not they can be proven to be congruent.\n\nthe two triangles are related by ____, so the triangles ____.

Answer

Explanation:

Step1: Identify given geometric markings

Both triangles are right-angled triangles, indicated by the square symbol in one corner.

Step2: Identify congruent sides

The single tick marks indicate one pair of congruent legs, and the double tick marks indicate congruent hypotenuses.

Step3: Apply congruence theorem

The Hypotenuse-Leg (HL) theorem states that two right triangles are congruent if their hypotenuses and one corresponding leg are equal.

Step4: Determine final relationship

Since the hypotenuse and one leg match, the triangles are proven congruent.

Answer:

The two triangles are related by HL, so the triangles are congruent.