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State, 'True' Or 'False' If Two Adjacent Sides of a Parallelogram Are Equal, It is a Rhombus - Mathematics

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Question

State, 'true' or 'false' 
If two adjacent sides of a parallelogram are equal, it is a rhombus.

Options

  • True

  • False

MCQ
True or False

Solution

True

A parallelogram is a quadrilateral with opposite sides parallel and equal.

A rhombus is a quadrilateral with opposite sides parallel, and all sides equal.

If in a parallelogram the adjacent sides are equal, it means all the sides of the parallelogram are equal, thus forming a rhombus.

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Types of Quadrilaterals
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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 0.9 | Page 175

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