show that the line segments joining the mid-point of the opposite sides ofa quadrilateral bisect each other. Plz ans me fast
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Give that -: ABCD is a quadrilateral
P Q R and S are the mid-points of side CD AD AB and BC
Proof -: In triangle ABD and BCD
QR = BD & QR || BD } by the mid-
PS = BD & PS || BD } -point theorem
Similarly in triangle ABC and ADC
Do the same as done Above and after that
opposite sides will be equal and parallel.
than PQRS will be a llgm.
and we know that diagonals of a llgm bisects each other.
P Q R and S are the mid-points of side CD AD AB and BC
Proof -: In triangle ABD and BCD
QR = BD & QR || BD } by the mid-
PS = BD & PS || BD } -point theorem
Similarly in triangle ABC and ADC
Do the same as done Above and after that
opposite sides will be equal and parallel.
than PQRS will be a llgm.
and we know that diagonals of a llgm bisects each other.
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