Question

1. a) sas b) sss c) aas d) not congruent state if the two triangles are congruent. if they are, state how you know. a) a b) c c) d d) b

Explanation:

Step1: Recall triangle congruence criteria

• SSS (Side - Side - Side): If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
• SAS (Side - Angle - Side): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent.

Step2: Analyze the given triangles

• In the given figure, we can see that the two triangles have three pairs of equal sides. The common side (the side that is shared between the two triangles) and the two other pairs of marked equal sides.

Answer:

D. B (Since the triangles are congruent by SSS criterion, so the answer is B)