Question

use the congruence markings to determine whether the triangles are congruent, similar, or neither. state the triangle congruence criterion connected to the pair of triangles that are congruent or similar.

Explanation:

Step1: Check angle - markings

Observe the congruence markings on angles. If all three pairs of corresponding angles are congruent, the triangles are similar. If in addition, all three pairs of corresponding sides are congruent, they are congruent.

Step2: Analyze similarity

Since we only see angle - markings and no side - length markings indicating equal side lengths, and the corresponding angles are congruent, the triangles are similar.

Step3: Identify similarity criterion

The AA (Angle - Angle) similarity criterion states that if two pairs of corresponding angles of two triangles are congruent, the triangles are similar. Here, we have two pairs of congruent angles, so the AA similarity criterion applies.

Answer:

The triangles are similar. The triangle similarity criterion is AA (Angle - Angle).