Question

consider the two triangles shown below.

note: the triangles are not drawn to scale.

are the two triangles congruent?

choose 1 answer:

a yes

b no

c there is not enough information to say.

Explanation:

Step1: Identify congruence criterion

We can use the Side - Angle - Side (SAS) congruence criterion, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Step2: Analyze the given triangles

In both triangles, we have two sides of length 8 and 8, and the included angle between these two sides is \(42^{\circ}\) for both triangles. So, by the SAS congruence criterion, the two triangles are congruent.

Answer:

A. Yes