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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 ∠□≅∠□ reason: given type of statement reason: given △nop≅△dcb reason: aas
Step1: Identify congruence criterion
The AAS (Angle - Angle - Side) criterion is given as the reason for $\triangle NOP\cong\triangle DCB$.
Step2: Determine missing angle - side pair
Since one side ($\overline{DC}\cong\overline{ON}$ is given), and we need two angles for AAS. We can assume from the markings on the triangles that the pair of angles $\angle C$ and $\angle N$ are the appropriate angles to complete the AAS proof.
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The triangles are necessarily congruent. For the second - given statement: $\angle C\cong\angle N$ (assuming the marked angles in the diagram are the ones to be used for the AAS congruence criterion).