Show that the points A(1,2) , B(5,4) , C(3,8) and D(-1,6) are the vertics of the square
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USE THE DISTANCE FORMULAE TO FIND THE DISTANCE BETWEEN AB,BC,CD,DA...
THE DIATANCE WILL BE EQUAL IN ALL THE CASE AND LATER FIND THE DIAGONAL AND HENCE YOU WILL SEE THAT BOTH THE DIAGONALS ARE OF SAME LENGTH....
HENCE; IN ANY QUADRILATERAL IF ALL THE SIDES ARE EQUAL AND DIAGONALS ARE ALSO EQUAL THEN IT IS A SQUARE....
HOPE IT HELPS..
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