Maths-
General
Easy

Question

What additional information is necessary to prove that the given triangles are congruent by AAS postulate?

hintHint:

A pair of vertically opposite angles are always equal to each other.

The correct answer is: we need BAE = DCE


    In the figure, side BE = ED
    Since a pair of vertically opposite angles are always equal to each other, it implies that
    straight angle AEB equals straight angle DEC
    So, we have got a side and an angle. To prove the triangles are congruent by AAS congruency postulate we need one more angle such that the side BE is not included.
    So, we need straight angle BAE equals straight angle DCE

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