Question

which congruence theorem proves that the triangles shown are congruent? 6. sss ssa sas asa clear all

Explanation:

• SSS (Side - Side - Side): Requires three pairs of corresponding sides to be equal. There is no information about all three sides being equal in the given problem.
• SSA (Side - Side - Angle): Is not a valid congruence theorem in general (except for the right - triangle case with Hypotenuse - Leg).
• SAS (Side - Angle - Side): Requires two sides and the included angle to be equal. There is no indication of two sides and the included angle being equal here.
• ASA (Angle - Side - Angle): We know two angles (\(64^{\circ}\) and \(72^{\circ}\)) and the included side (the side between the two angles, which is marked as equal in the two triangles) are equal.

Answer:

ASA