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Answer:given that AB parallel to DC and AD parallel to BC such that it gives us that it is a parallelogram and it is property that opposite side of the parallelogram are equal so AB=DC and AD=BC
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Answer:
Given:ab||cd
ad||bc
To prove:ab=cd
ad=bc
Construct:Join AC
Proof:
In triangle abc and triangle adc:
Angle cab = angle acd (interior opposite angles)
Angle cad = angle acb (interior opposite angles)
AC = AC (Common)
Therefore by asa similarity criteria :
Triangle ABC = Triangle ADC
Therefore ab=cd (by cpct)
bc=ad (by cpct)
Hence proved
Hope it helps you
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