Question

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

Explanation:

Step1: Recall 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 marks on the sides of the triangles (the tick marks indicating equal sides), we can see that all three pairs of corresponding sides are equal.

Answer:

SSS