Question

can anyone help me out plz plz it urgent​

Answer 1

Step-by-step explanation:

In parallelogram ABCD X and Y are the mid-points of sides AB and DC respectively

AY and CX are joined

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

AX = YC 1/2 of opposite sides of a parallelogramii and AX || YCiii AXCY is a parallelogram

A pair of opposite sides are equal and parallel Hence proved.

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Answer 2

Given:

AB is parallel to CD

X is the midpoint of AB

Y is the midpoint of CD

AB = CD

Solution:

since AB||CD ;

AX||YC

its because AX is a part of AB and YC is a part of CD.

since AB = CD;

$\frac{1}{2}$× AB = $\frac{1}{2}$×CD

AX = YC [Because X is the midpoint of AB and Y is the midpoint of CD]

since AX = YC; AY must be parallel to XC

in conclusion;

since AX||YC ; AX = YC  and AY||XC

AXCY is a parallelogram.