Construction of Rectangle When Ratio of Sides Are Given
When is the q...
Question
When is the quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, a rhombus?
A
PQRS is a rhombus.
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B
Diagonals of PQRS are perpendicular.
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C
Diagonals of PQRS are equal.
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D
PQRS is a parallelogram.
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Solution
The correct option is C Diagonals of PQRS are equal. The quadrilateral formed by joining the mid-points of the sides of the quadrilateral PQRS, taken in order, is a rhombus if the diagonals of PQRS are equal.