Question

1. a) aas b) not enough information c) hl d) asa

Explanation:

Step1: Recall triangle congruence criteria

• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
• HL (Hypotenuse - Leg): Applies only to right - angled triangles, where the hypotenuse and one leg are equal.

Step2: Analyze the given triangles

• In the given triangles, we have two angles (marked with arcs) and a non - included side (marked with double cross - hatch) that are equal.

Answer:

A. AAS