Which shows two triangles that are congruent by AAS?
A, B, C, or D
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Answer: (A) shows two triangles that are congruent by AAS.
Explanation:-
AAS (Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are equal to the two angles and the non-included side of the another triangle, then the two triangles are said to be congruent.
In figure A we have two angles and the non-included side one triangle are equal to the two angles and the non-included side of the next triangle attached to it ,thus by AAS postulate they are congruent.
Rest of the other figures do not have two angles equal in both the triangles.
Thus only A shows two triangles that are congruent by AAS.