Question

select the statement that most accurately describes the given information between the congruent triangles.
two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
two angles and a non - included side of one triangle are congruent to two angles and a non - included side of another triangle.
three sides of one triangle are congruent to three sides of another triangle.
none of these statements accurately describe the given information between the triangles.

Explanation:

Step1: Analyze the triangle markings

The triangles have two angles (marked with arcs) and one side (marked with a tick) between the angles. So we check the congruence criteria.

Step2: Match with congruence statements

The ASA (Angle - Side - Angle) criterion states that two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. The markings show two angles and the included side congruent. So the first option matches.

Answer:

Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.