Question

which rule explains why these triangles are congruent? sss aas sas asa these triangles cannot be proven congruent. submit work it out not feeling ready yet? these can help: sss and sas theorems asa and aas theorems lesson: congruence

Explanation:

Step1: Recall congruence rules

SSS (Side - Side - Side) means all three sides of one triangle are equal to the corresponding sides of another triangle. AAS (Angle - Angle - Side) means 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) means 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) means two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

Step2: Analyze the given triangles

In the given triangles, we see two pairs of angles are marked as equal and a non - included side is common. This satisfies the AAS (Angle - Angle - Side) congruence rule.

Answer:

AAS