Question

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

Explanation:

Step1: Analyze the triangle type

The given triangle is a right - angled triangle.

Step2: Check congruence criteria

For right - angled triangles, the Hypotenuse - Leg (HL) congruence criterion states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent. Here, we assume the two right - angled triangles have equal hypotenuse and equal leg (as per the marking in the figure which is a right - angled triangle with two equal sides, one of which is a leg and the other can be related to hypotenuse - leg concept in congruence).

Answer:

The two triangles are related by Hypotenuse - Leg (HL), so the triangles are congruent.