Question

deltamath ← back to home triangle proofs no late credit grade: 0% complete: 50% interior and exterior triangle angles triangle congruence criteria triangle congruence, basic flowchart proof triangle congruence, flowchart proof (level 1) calculator payton dorsey log out 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. dc ≅ on reason: given ∠c ≅ ∠n reason: given △bcd and △pno are triangles reason: △nop ≅ △dcb reason: aas

Explanation:

Step1: Analyze given information

Given $\overline{DC}\cong\overline{ON}$ and $\angle C\cong\angle N$. For AAS (Angle - Angle - Side) congruence, we need two angles and a non - included side. Here we only have one pair of sides and one pair of angles given. Without another pair of angles or another side congruence, we can't prove congruence. Just because we have one side and one angle equal doesn't satisfy any of the triangle congruence criteria (SSS, SAS, ASA, AAS, HL for right - triangles). So the triangles are not necessarily congruent.

Answer:

The triangles are not necessarily congruent.