Question

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. type of statement reason: given type of statement reason: given type of statement reason: given △klm≅△azy reason: select reason

Explanation:

Step1: Identify the congruent parts

In \(\triangle AZY\) and \(\triangle KLM\), we have \(AZ = KL\) (given as the equal - marked sides), \(\angle Z=\angle L\) (given as the equal - marked angles), and \(ZY = LM\) (given as the equal - marked sides).

Step2: Apply the congruence criterion

The Side - Angle - Side (SAS) congruence criterion 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 two triangles are congruent. Here, in \(\triangle AZY\) and \(\triangle KLM\), we have two sides (\(AZ = KL\) and \(ZY = LM\)) and the included angle (\(\angle Z=\angle L\)) equal.

Answer:

The reason for \(\triangle KLM\cong\triangle AZY\) is SAS (Side - Angle - Side) congruence criterion.