Question

ABCD is a parallelogram x and y are the midpoints of the opposite sides ab and CD respectively prove that a xcv is a parallelogram

Answer 1

Answer:

Given : In parallelogram ABCD, X and Y are the mid-points of sides AB and DC respectively AY and CX are joined

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.

Step-by-step explanation:

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