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Prove that if both pairs of opposite sides of a quadrilateral are equal then it is a parallellogram?
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Prove that if both pairs of opposite sides of a quadrilateral are equa...
Given : ABCD is a quadrilateral,

where AB = CD & AD = BC 

To Prove : ABCD is a Parallelogram.

Construction : Join AC, AC is the diagonal 

Proof: In Δ ABC & Δ CDA
 AB = CD (Given)
BC = DA  (Given) 
AC = CA (Common) 
therefore, ΔABC = Δ CDA (SSS congruency) 

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Prove that if both pairs of opposite sides of a quadrilateral are equal then it is a parallellogram?
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