Question

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

Explanation:

Step1: Recall congruence rules

ASA (Angle - Side - Angle): Two angles and the included side are equal.
AAS (Angle - Angle - Side): Two angles and a non - included side are equal.
SSS (Side - Side - Side): All three sides are equal.
SAS (Side - Angle - Side): Two sides and the included angle are equal.

Step2: Analyze the given triangles

In the given triangles, we have two pairs of angles (marked with arcs) and a pair of non - included sides (the sides with tick marks).

Answer:

AAS