Quadrilateral abcd is a parallelogram ,p and q are midpoints of side ab and dc respectively, then prove quadrilateral apcq is a parallelogram ?
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AP+PB= AB (1)
DQ+QC=DC (2)
IN ||gm ABCD AB=DC AND PARALLEL TO IT
SO,
IN QUAD.APCQ
AP = QC
and AP IS || TO QC
SO angle PAC = angle DCA
HENCE APCQ IS A ||gm
DQ+QC=DC (2)
IN ||gm ABCD AB=DC AND PARALLEL TO IT
SO,
IN QUAD.APCQ
AP = QC
and AP IS || TO QC
SO angle PAC = angle DCA
HENCE APCQ IS A ||gm
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