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: Recall congruence criteria

Congruent triangles have equal - sized corresponding sides and angles. Criteria include SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles). Similar triangles have proportional sides and equal angles.

Step2: Analyze the markings

The markings on the sides of the two triangles indicate that all three pairs of corresponding sides are equal.

Step3: Determine congruence

Since all three pairs of corresponding sides are equal, by the SSS (Side - Side - Side) congruence criterion, the two triangles are congruent.

Answer:

The triangles are congruent. The triangle congruence criterion is SSS.