if in a quadrilateral each pair of opposite sides are equal then proove that it a parallelogram

Asked by  | 26th Dec, 2012, 02:30: PM

Expert Answer:

Let WXYZ be the quadrilateral.
We have:
angle W = angle Y
angle Z = angle X
 
Now, angle W + angle X + angle Y + angle Z = 360 degrees
angle W + angle Z = 180 degrees
 
But these are co-interior angles between lines WX and ZY. Therefore, WX || ZY.

Answered by  | 26th Dec, 2012, 04:01: PM

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