Question

3 are the given triangles congruent? if so, how?
a asa
b sas
c sss
d aas

Explanation:

Step1: Recall congruence criteria

• 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.
• SSS (Side - Side - Side): All three sides of one triangle are equal to all three sides 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.

Step2: Analyze the given triangles

From the figure, we can observe that there are two angles and a non - included side (marked in the figure) that are equal for the two triangles.

Answer:

D. AAS