Question

ermine if the two triangles are necessarily congruent. if so, fill in a flowchart proof to prove that they are.
the triangles are necessarily congruent.
for each of the first three boxes, choose a statement format from the dropdown menu. you will then be able to change the letters to match the diagram
for this problem.

Explanation:

Step1: Identify congruent triangles condition

The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Match the given information with ASA

In \(\triangle BAZ\) and \(\triangle LMN\), we have two pairs of equal angles (given) and the included sides (marked as equal) which satisfies the ASA criterion.

Answer:

The triangles are necessarily congruent. The reason for \(\triangle LMN\cong\triangle BAZ\) is ASA (Angle - Side - Angle) congruence criterion.