Question

indicate the method you would use to prove the two △s ≅. if no method applies, enter none.
aas
sss
none
sas
asa

Explanation:

Step1: Recall triangle congruence criteria

• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle.
• SSS (Side - Side - Side): All three sides of one triangle are equal to the corresponding three sides of another triangle.
• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

Step2: Analyze the given triangles

• We are given two angles (\(40^{\circ}\) and \(60^{\circ}\)) and a side (\(10\)) for each triangle. The side is not included between the two given angles.

Answer:

A. AAS