Question

determine the relationship between the two triangles and whether or not they can be congruent. answer attempt 1 out of 2 the two triangles are related by, so the triangles

Explanation:

Step1: Identify markings

The triangles have corresponding side - lengths marked equal and a corresponding angle marked equal.

Step2: Recall congruence criteria

The Side - Angle - Side (SAS) congruence criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Step3: Determine transformation

The orientation of the second triangle is different from the first, indicating a rotation. Since the side - length and angle measurements match (satisfying SAS), and a rotation is a rigid transformation that preserves shape and size, the triangles are congruent.

Answer:

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