ABCD and ABPQ are parallelogram. show that PQDC is also a parallelogram.
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In parallelogram ABPQ,
AB = PQ & AB║PQ (Since opposite sides of parallelogram are equal) -equation(1)
In parallelogram ABCD,
AB = DC & AB║DC (Opposite sides of parallelogram are equal) - equation(2)
∴ From eq.(1) & (2)
PQ = DC & PQ║DC
Hence, PQDC is a parallelogram.
AB = PQ & AB║PQ (Since opposite sides of parallelogram are equal) -equation(1)
In parallelogram ABCD,
AB = DC & AB║DC (Opposite sides of parallelogram are equal) - equation(2)
∴ From eq.(1) & (2)
PQ = DC & PQ║DC
Hence, PQDC is a parallelogram.
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