Prove that the point (-4,-1) , (-2,-4) , (4,0) and (2,3) are the vertices of a rectangle. Also , find the area of the rectangles.
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To prove that a quadrilateral is a rectangle we need to show that opposite sides are equal and parallel and it has at least one right angle. Let A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) be the given vertices. Now we need to show that ABCD is a rectangle.
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