Question

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

Explanation:

Step1: Recall congruence criteria

Congruence of triangles requires information about side - side - side (SSS), side - angle - side (SAS), angle - side - angle (ASA), angle - angle - side (AAS) or hypotenuse - leg (HL for right - angled triangles).

Step2: Analyze given information

We are only given angle measures and one pair of marked sides. But we don't know if the marked sides are corresponding, and we don't have enough information about other sides or angles to apply any of the congruence criteria.

Answer:

not enough information given