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Rhombus

Which of the ...

Question

Which of the following statements are true for a rhombus.

x. It can be a square.

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Solution

Statement: Rhombus can be a square.

We know that,

Rhombus is a quadrilateral with all sides equal in length.

Square is a quadrilateral with all sides equal in length and all interior angles equal to 90°.

Therefore, rhombus can be square if each of its angle is right angle.

Hence, the given statement is true.

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Similar questions

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.

Q. Which of the following statements are true for a rhombus?
(i) It has two pairs of parallel sides.
(ii) It has two pairs of equal sides.
(iii) It has only two pairs of equal sides.
(iv) Two of its angles are at right angles.
(v) Its diagonals bisect each other at right angles.
(vi) Its diagonals are equal and perpendicular.
(vii) It has all its sides of equal lengths.
(viii) It is a parallelogram.
(ix) It is a quadrilateral.
(x) It can be a square.
(xi) It is a square.

Q. Which of the following statements are correct?

Statement 1: All rhombuses are not squares but all squares are rhombuses.
Statement 2: All rhombuses are squares but all squares are not rhombuses.
Statement 3: A parallelogram can be a rectangle or a square.
Statement 4: All squares are parallelograms but not all rectangles are parallelograms.

Q. Which of the following statements are true for the diagonals of a rhombus?

Q. Which of the following statements are true for a rhombus.

xi. It is a square.

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