Question

1. determine which method if any can prove the triangles are congruent. * 1 point

there is more than one, check all that apply
1.

sss
sas
asa
aas
hl

Explanation:

Step1: Analyze the given information

We have two triangles. From the figure, we can see that two sides are marked as equal (common side and the other pair of sides). Also, two angles are marked as equal.

Step2: Recall the congruence criteria

• SSS (Side - Side - Side): Requires three pairs of equal sides. Here we don't have information about three pairs of sides.
• SAS (Side - Angle - Side): We have two sides and the included angle. But in the given case, the angle is not the included angle between the two sides.
• ASA (Angle - Side - Angle): We have two angles and the included side. But we don't have information about the included side.
• AAS (Angle - Angle - Side): We have two angles (marked) and a non - included side (common side). This satisfies the AAS congruence criterion.

Answer:

AAS