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:

The two triangles share a pair of corresponding congruent angles (the top marked angles) and a pair of corresponding congruent sides (the marked sides adjacent to these angles). Additionally, the vertical angles formed between the triangles are congruent. This matches the ASA (Angle-Side-Angle) congruence criterion, as we have two pairs of congruent angles and the included congruent side. The triangles are related by a reflection (or rotation/reflection, a rigid transformation that preserves size and shape).

Answer:

The two triangles are related by a reflection (rigid transformation), so the triangles can be proven congruent by ASA congruence