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 figure

• In the given figure, we have two angles (marked by the red arcs) and the side between them (the common side of the two triangles formed) is relevant.
• Since we have two angles and the included side, it matches the ASA (Angle - Side - Angle) congruence criterion.

Answer:

D. ASA