Question

questions
determine the relationship between the two triangles and whether or not they can be proven to be congruent.

answer attempt 1 out of 2
the two triangles are related by
, so the triangles

Explanation:

Step1: Analyze triangle markings

Both triangles are right - angled (one right angle each, marked by the right - angle symbol). They have two sides marked as equal (the tick marks on the sides). Also, one triangle can be obtained from the other by a rotation (since the orientation is different, but the side lengths and angle measures should be the same).

Step2: Determine congruence

For right - angled triangles, if we consider the Hypotenuse - Leg (HL) congruence criterion or the Side - Angle - Side (SAS) criterion. Since we have a right angle, and two sides with equal lengths (the legs or one leg and hypotenuse), and the triangles are related by rotation (a rigid transformation), rigid transformations preserve the shape and size of the figure. So, the two triangles are related by a rotation, and since rotation is a rigid transformation, the triangles are congruent.

Answer:

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