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If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a ______.

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Question

If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a ______.

Options

  • square

  • rhombus

  • parallelogram

  • rectangle

MCQ
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Solution

If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a rhombus.

Explanation:

A quadrilateral whose diagonals bisect each other at right angles satisfies the defining geometric condition of a rhombus. While a square also has perpendicular diagonals, a rhombus is the general category specifically characterised by this property.

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Chapter 13: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - Exercise 13 (B) [Page 197]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 13 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Exercise 13 (B) | Q 1. (e) | Page 197
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