Question

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

Explanation:

Step1: Analyze Triangle Properties

Both triangles are right - angled (have a right angle, marked by the square) and have two equal sides (marked by the tick marks). One triangle can be obtained from the other by a rotation (or reflection).

Step2: Check Congruence Criterion

For right - angled triangles, we can use the Hypotenuse - Leg (HL) congruence criterion or note that since two legs are equal (from the tick marks) and the right angle is common (in terms of angle - side - angle or side - angle - side when considering rotation/reflection), the triangles are congruent. The transformation that relates them is a rotation (or reflection), and by the SAS (Side - Angle - Side) congruence criterion (right angle is the included angle between the two equal sides), the triangles are congruent.

Answer:

The two triangles are related by a rotation (or reflection), so the triangles are congruent.