Question

name the postulate, if possible, that makes the triangles congruent. aas asa sas not possible

Explanation:

Step1: Recall triangle congruence postulates

• AAS (Angle - Angle - Side): 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 triangles are congruent.
• ASA (Angle - Side - Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
• SAS (Side - Angle - Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step2: Analyze the given triangles

• Let's assume the given information: we have two angles and a non - included side.
• In the first triangle, we have two angles (let's say \(\angle I\) and \(\angle R\)) and a side (\(IK\)). In the second triangle, we have two angles (equivalent to \(\angle I\) and \(\angle R\)) and a non - included side (equivalent to \(IK\)).

Answer:

AAS