Question

X and Y are the mid point of the opposite sides AB and DC of a parallelogram ABCD.prove parallelogram AXCY is a parallelogram

Answer 1

Answer:

Proof : AB || DC and X and Y are the mid-points of the sides AB and DC respectively

(i) AX = YC (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.