Question

what method can be used to prove the triangles below are congruent?
a. sas
b. aas
c. asa
d. not possible
answer:

Explanation:

Step1: Recall congruence criteria

• 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.
• 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.

Step2: Analyze the given triangles

• In the given triangles, we have two sides (marked with one and two ticks respectively) and the non - included angle (the angle not between the two marked sides) equal. This matches the AAS (Angle - Angle - Side) congruence criterion.

Answer:

B. AAS