Question

question determine 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. type of statement reason: given type of statement reason: given type of statement reason: given △mno≅△cba reason:

Explanation:

Step1: Identify congruent sides

From the diagram, we see that \(AB = NO\), \(BC=MN\), and \(AC = MO\) (given by the tick - marks).

Step2: Apply congruence criterion

By the Side - Side - Side (SSS) congruence criterion, if three sides of one triangle are congruent to three sides of another triangle, the two triangles are congruent.

Answer:

The triangles are necessarily congruent. The three statements could be: \(AB = NO\) (Reason: GIVEN), \(BC = MN\) (Reason: GIVEN), \(AC=MO\) (Reason: GIVEN), and the reason for \(\triangle MNO\cong\triangle CBA\) is SSS (Side - Side - Side congruence).