Question

the triangles shown below must be congruent. a. true b. false

Explanation:

Step1: Check the Angle - Side - Angle (ASA) congruence criterion

For two triangles to be congruent by ASA, two angles and the included side of one triangle must be equal to two angles and the included side of the other triangle.
In the first triangle, angles are \(58^{\circ}\), \(62^{\circ}\), \(60^{\circ}\) and side \(7\) (between \(62^{\circ}\) and \(60^{\circ}\)).
In the second triangle, angles are \(60^{\circ}\), \(58^{\circ}\), \(62^{\circ}\) and side \(7\) (between \(58^{\circ}\) and \(62^{\circ}\)).
The side of length \(7\) is not the included side for the same pair of angles in both triangles.

Answer:

B. False