ABCD is a poeallelogram in which so and y aseo
mid points of its sides DC and AB respectively
prove that Axcy is a parallelogram
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Answer:
Step-by-step explanation:
To prove :
(i) AX = YC
(ii) AX is parallel to YC
(iii) AXCY is a parallelogram
Proof : AB || DC and X and Y are the mid-points of the sides AB and DC respectively
(i) AX = YC ( \frac { 1 }{ 2 } of opposite sides of a parallelogram)
(ii) and AX || YC
(iii) AXCY is a parallelogram (A pair of opposite sides are equal and parallel)
Hence proved.
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