Question

triangle congruence criteria
score: 13/15 penalty: none
question
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: Identify congruence markers

In the triangles, two pairs of corresponding sides are marked as equal, and the included corresponding angles are equal. This matches the SAS (Side-Angle-Side) congruence criterion.

Step2: Determine triangle relationship

The triangles have identical side-angle-side combinations, so they are congruent via rigid transformation (translation/rotation/reflection, which preserves size/shape).

Answer:

The two triangles are related by a rigid transformation (congruent via SAS criterion), so the triangles can be proven congruent (SAS congruence).