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Show that the quadrilateral, formed by j...

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

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The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

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Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Prove that the quadrilateral formed by joining the mid-points of the pairs of consecutive sides of a quadrilateral is a parallelogram.

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If the quadrilateral formed by joining the mid points of the adjacent sides of quadrilateral ABCD is a rectangle, show that the diagonals AC and BD intersect at right angle.