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.

Explanation:

Step1: Identify corresponding parts

In \(\triangle EDC\) and \(\triangle OPR\), we have \(ED = OP\) (given), \(EC=OR\) (given), \(\angle D=\angle P\) (given).

Step2: Apply congruence criterion

By the Side - Angle - Side (SAS) 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 first three boxes (from left - to - right) should be: \(ED = OP\), \(\angle D=\angle P\), \(EC = OR\). The reason for \(\triangle OPR\cong\triangle EDC\) is "SAS (Side - Angle - Side)".