Question

show that the point (2,6),(5,1),(0,-2) and (-3,3) are the vertices of parallelogram.

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Answer 1

Answer:

Let the points be A(2,6), B(5,1), C(0,-2) and D(-3,3)

$Midpoint \: of \: AC \: = ( \frac{2 + 0}{2} , \frac{6 - 2}{2} ) = (1, 2)$

$Midpoint \: of \: BD = ( \frac{5 - 3}{2} , \frac{1 + 3}{2}) = (1,2)$

Since Midpoint of AC = Midpoint of BD

Therefore diagonal bisect each other.

Hence, its a parallelogram.

Answer 2

Answer:

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