Question

determine if the two triangles are necessarily congruent. if so, fill in a flowchart proof to prove that they are. the triangles necessarily congruent. answer you must answer all questions above in order to submit.

Explanation:

Step1: Recall congruence criteria

The congruence criteria for triangles are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - angled triangles).

Step2: Analyze the given triangles

In triangle \(ABC\) and triangle \(OMN\), we can observe that two sides and the included angle are marked as equal.

Step3: Apply SAS criterion

By the SAS (Side - Angle - Side) congruence criterion, 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.

Answer:

The triangles are necessarily congruent.