Answer :

In a parallelogram, opposite sides are equal and parallel.

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)


Slope m of a line passing through two points A(a,b) and B(c,d) ig given by



In the question,


AB = =


BC = =


CD = =


AD = =


Slope of AB =


Slope of BC =


Slope of CD =


Slope of AD =


As AB = DC and BC = AD


And Slope AB = Slope CD


Slope BC = slope AD


Hence the given points form a parallelogram.


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