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. (overline{dc}congoverline{on}) reason: given (angle ccongangle n) reason: given (\triangle bcd) and (\triangle pno) are triangles

Explanation:

Step1: Identify given information

Given $\overline{DC}\cong\overline{ON}$ and $\angle C\cong\angle N$. Also, assume the third - angle condition (if not given explicitly, we can use the fact that the sum of angles in a triangle is 180 degrees). If we consider the Angle - Side - Angle (ASA) or Side - Angle - Side (SAS) congruence criteria (depending on the full set of given information which may include another pair of equal sides or angles), we can prove congruence. Since we have one side and one angle equal and if we assume the triangles satisfy one of the congruence postulates (e.g., if the other non - given equal parts are also present), the triangles are congruent. So the answer is yes.

Answer:

Yes