Question

which rule explains why these triangles are congruent? aas sas asa sss these triangles cannot be proven congruent.

Explanation:

Step1: Recall triangle congruence rules

• \(AAS\) (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.
• \(SAS\) (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.
• \(SSS\) (Side - Side - Side): All three sides of one triangle are equal to the corresponding three sides of another triangle.

Step2: Analyze the given triangles

From the figure, we can see that the two triangles have three pairs of equal sides.

Answer:

SSS