Question

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

Explanation:

Step1: Recall triangle congruence rules

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

Step2: Analyze the given triangles

• From the figure, we can see that two sides and the included angle of triangle \(XWV\) are equal to the corresponding two sides and included angle of triangle \(UST\).

Answer:

SAS