Question

8 look at the figure. name the postulate or theorem you can use to prove the triangles congruent. aas theorem asa postulate sss postulate sas postulate

Explanation:

Step1: Recall triangle - congruence criteria

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

Step2: Analyze the figure

From the figure, we can see that there are two pairs of angles and a non - included side are congruent (the common side is non - included between the given angles). This satisfies the AAS Theorem.

Answer:

A. AAS Theorem