Question

complete the triangle congruence statement in order to prove the given statement. what postulate or theorem would you use (sss, sas, hl, aas or asa)? given ∠khn ≅ ∠mgt diagram congruence statement △nkh ≅ △ method

Explanation:

Step1: Identify corresponding parts

From the given \(\angle KHN\cong\angle MGT\), and from the diagram, we can observe that \(KH = MG\) (marked as equal in the diagram) and \(\angle N=\angle I = 90^{\circ}\) (right angles).

Step2: Apply AAS theorem

The Angle - Angle - Side (AAS) theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. Here, \(\angle N=\angle I\), \(\angle KHN=\angle MGT\), and \(KH = MG\).

Answer:

Congruence Statement: \(\triangle NKH\cong\triangle IMG\)
Method: AAS (Angle - Angle - Side)