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 are are not you must answer all questions above in order to submit.

Explanation:

Step1: Recall congruence criteria

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: Identify corresponding parts

In \(\triangle ABC\) and \(\triangle NMO\), we have:

• \(\angle B=\angle N\) (given as marked angles)
• \(BC = NM\) (given as marked sides)
• \(\angle C=\angle M\) (given as marked angles)

Since we have two angles and the included side of \(\triangle ABC\) equal to two angles and the included side of \(\triangle NMO\), by the ASA congruence criterion, the two triangles are congruent.

Answer:

The triangles are necessarily congruent.