ABCD is a quadrilateral in which AD = BC. If P, Q, R, S be the mid-points of AB, AC, CD
od BD respectively, show that PQRS is a rhombus.
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Step-by-step explanation:Given : ABCD is paraellogram
AB=CD
BC=AD
TO PROVE: AB=BC=CD=AD
ABCD IS A RHOMBUS
PROOF: AP=AS
DR=DS
CR=CQ
BP=BQ(ARE TANGENTS)
AP+DR+CR+BP = AS+CQ+BQ+DS
AB+AB= BC + BC
2AB=2BC
AB=BC ARE RHOMBUS
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