Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer attempt 1 out of 3
the two triangles are related by, so the triangles
you have up to 48 questions left to raise your score.

Explanation:

Step1: Analyze triangle properties

Both triangles are right - angled (one right angle each), and they have one pair of marked (congruent) sides. Also, we can consider the transformation. The first triangle can be rotated (and maybe reflected) to match the second triangle. Rotation and reflection are rigid transformations, which preserve the shape and size of the triangle.

Step2: Determine congruence

Since rigid transformations (rotation, reflection) map one triangle to the other, and rigid transformations preserve congruence, the two triangles are congruent. The relationship is a rigid transformation (rotation/reflection), so they can be proven congruent.

Answer:

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