Question

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

Explanation:

Step1: Find the third angle of the first triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the third angle be \(x\). Then \(x + 98^{\circ}+35^{\circ}=180^{\circ}\), so \(x = 180^{\circ}-(98^{\circ}+35^{\circ})=47^{\circ}\).

Step2: Analyze congruence criteria

We have two angles (\(35^{\circ}\) and \(47^{\circ}\)) and a non - included side (the side marked with the same symbol) or two angles (\(35^{\circ}\) and \(47^{\circ}\)) and an included side (if we consider the side - angle - side relationship in terms of angle - angle - side or angle - side - angle). The ASA (Angle - Side - Angle) or AAS (Angle - Angle - Side) congruence criteria can be applied.

Answer:

yes, because of ASA or AAS