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Opposite Sides of a Parallelogram Are Equal

If the diagon...

Question

If the diagonals of a rhombus are equal, then the rhombus is a

A

parallelogram but not a square

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B

parallelogram but not a rectangle

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C

rectangle but not a square

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D

square

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Solution

The correct option is C square
A rhombus has all its sides equal and a square also has its sides equal.
If the diagonals of a rhombus are equal, then the rhombus is a square.

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Q. All the properties of a parallelogram are applicable for a rhombus and a rectangle but not a square.

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Q. Fill in the blank
All rectangle, squares and rhombus are _________ but a trapezium is not.

All rhombuses are parallelograms but all parallelograms are not rhombuses.

Q. Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.

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