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# CBSE Class 9 Answered

ABCD is a parallelogram in which X and Y are the mid points of AB and DC respectively. If AY and DX intersect in P while CX and BY intersect in Q, show that quadrilateral PXQY is a parallelogram.
Asked by Topperlearning User | 09 Dec, 2013, 02:35: AM
Expert Answer
AB||DC
AX||YC
AB = DC
AX = YC
AX||YC and AX = YC
AXCY is a parallelogram.
AY||XC or PY||XQ
Also AB = DC
XB||DY and XB = DY
XBYD is a parallelogram
XD||BY or XP||QY
Thus, PY||XQ and XP||QY
PXQY is a parallelogram.
Answered by | 09 Dec, 2013, 04:35: AM

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