Question

analyzing congruence criteria. are the triangles congruent? if so, how do you know? o yes, because all the angles of the triangles are congruent. o you have two corresponding angles. o yes, because of asa or aas. o not enough information given

Explanation:

Step1: Recall congruence criteria

The main congruence criteria for triangles are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Analyze given information

We are given two angles and a non - included side in each triangle. The angles are \(35^{\circ}\) and \(98^{\circ}\) and there is a marked side (the non - included side for the given angles). This satisfies the AAS (Angle - Angle - Side) congruence criterion.

Answer:

Yes, because of AAS