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State, 'True' Or 'False' If the Diagonals of a Quadrilateral Bisect Each Other at Right Angle, the Quadrilateral is a Square - Mathematics

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Question

State, 'true' or 'false'
 If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a square.

Options

  • True

  • False

MCQ
True or False
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Solution

False

Observe the above figure. The diagonals of the quadrilateral shown above bisect each other at right angles, however, the quadrilateral need not be a square, since the angles of the quadrilateral are clearly not right angles.

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Chapter 14: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - Exercise 14 (B) [Page 175]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 14 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Exercise 14 (B) | Q 1.1 | Page 175
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