(a) Name the quadrilaterals whose (i) diagonals are equal and (ii) diagonals are perpendicular bisector of each other.
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(i) If diagonals of a quadrilateral bisect each other then it is a rhombus, parallelogram, rectangle or square. (ii) If diagonals of a quadrilateral are perpendicular bisector of each other, then it is a rhombus or square. (iii) If diagonals are equal, then it is a square or rectangle.
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Name the quadrilaterals whose (i) diagonals are equal
❥ Square; rectangle.
(ii) diagonals are perpendicular bisector of each other.
❥ Solution: (i) If diagonals of a quadrilateral bisect each other then it is a rhombus, parallelogram, rectangle or square. (ii) If diagonals of a quadrilateral are perpendicular bisector of each other, then it is a rhombus or square. (iii) If diagonals are equal, then it is a square or rectangle.
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