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given=>
ABCD is a parallelogram
to prove=>
BC= CD
proof=>
In ∆ ABC and ∆ ADC
ADC= ABC (opposite angle of parallelogram)
AC= AC ( common)
DCA = BAC ( alternate interior angle)
therefore, ∆ ABC congruence to ∆ ADC ( by angle side angle)
BC= CD [by CPCT( corresponding part of congruence triangle)]
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