Question

1. practice. is there enough information to determine if the triangles are congruent? explain. a 2.3 35° 115° 30° t c f 2.3 35° 115° 30° h e

Explanation:

Step1: Recall congruence criteria

We use Angle - Side - Angle (ASA) congruence criterion.

Step2: Identify corresponding parts

In \(\triangle ATC\) and \(\triangle FHE\), \(\angle T = \angle H=30^{\circ}\), \(AT = FH = 2.3\), \(\angle A=\angle F = 115^{\circ}\).

Step3: Apply ASA criterion

Since two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, the triangles are congruent.

Answer:

The triangles \(\triangle ATC\) and \(\triangle FHE\) are congruent by the ASA (Angle - Side - Angle) congruence criterion.