Prove that the line segment joining the mid points of the sides of rectangle forms a
rhombus.
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A rectangle is a quadrilateral, so connecting its midpoints creates a parallelogram. To prove this parallelogram Is a rectangle, we need to show that all of its sides are equal. ... And if the opposite sides are equal, then so are their halves. Since E and G are both midpoints, |AE|=|DG|, as halves of equal sides.
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