Question

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

Explanation:

Step1: Recall congruence rules

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

Step2: Analyze the given triangles

In the given triangles, we have two sides marked as equal (by the tick marks) and the included angle (the angle between the two marked sides) is also equal (as per the congruence of angles concept).

Answer:

SAS