Question

1. determine which method if any can prove the triangles are congruent. * 2 points

2.
sss
sas
asa
aas
hl
not possible

Explanation:

Step1: Analyze the given information

We have two triangles. There is a pair of equal sides (marked with tick - marks), a pair of equal angles (the angles at the vertices of the triangles), and the vertical angles (formed by the intersection of the two lines) are equal.

Step2: Recall the congruence criteria

• SSS (Side - Side - Side): Requires three pairs of equal sides. Here we don't have information about three sides.
• SAS (Side - Angle - Side): Requires two sides and the included angle. The given angle is not included between the two known sides.
• ASA (Angle - Side - Angle): Requires two angles and the included side. The given side is not included between the two known angles.
• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent. Here, we have two pairs of equal angles (one pair is the given angles, and the other pair is the vertical angles) and a pair of equal non - included sides.

Answer:

AAS