For a rectangle: if diagonals are equal in a parallelogram, it is a rectangle (True). For a rhombus: if diagonals are perpendicular bisectors, it is a rhombus (True). For a square: if diagonals are equal and perpendicular bisectors, it is a square (True).
Class 9 Ganita Manjari Part 2 chapter 12 Quadrilaterals solutions
Class 9 Ganita Manjari Part 2 book Solutions
Rectangle: Property: diagonals are equal. Converse: If diagonals of a parallelogram are equal, it is a rectangle (True); for general quadrilaterals it is False. • Rhombus: Property: diagonals bisect perpendicularly. Converse: If a quadrilateral’s diagonals bisect each other perpendicularly, it is a rhombus (True). • Square: Property: diagonals are equal and perpendicular bisectors. Converse: A quadrilateral with equal diagonals that perpendicularly bisect each other is a square (True).
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