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When the midpoints of a rectangle are joined in order, the quadrilateral formed is a ______. - Mathematics

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Question

When the midpoints of a rectangle are joined in order, the quadrilateral formed is a ______.

Options

  • Square

  • Rectangle

  • Rhombus

  • Parallelogram

MCQ
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Solution

When the midpoints of a rectangle are joined in order, the quadrilateral formed is a rhombus.

Explanation:

  • Joining the midpoints of any quadrilateral forms a parallelogram (Varignon’s theorem).
  • In the special case of a rectangle, the figure formed by joining midpoints is a rhombus, because all sides are equal in length, but the angles are not necessarily right angles.
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Chapter 10: Mid-point Theorem - MULTIPLE CHOICE QUESTIONS [Page 115]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 10 Mid-point Theorem
MULTIPLE CHOICE QUESTIONS | Q 9. | Page 115
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