Q. 5

# Show that A (-4,

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 = =

Slope of AB =

Slope of BC =

Slope of CD =

As AB = DC and BC = AD

And Slope AB = Slope CD

Hence the given points form a parallelogram.

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