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Byju's Answer
Standard VI
Mathematics
Rhombus
Which of the ...
Question
Which of the following statements are true for a rhombus.
xi. It is a square.
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Solution
Statement: Rhombus is 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, a rhombus may not necessarily be a square.
Hence, the given statement is false.
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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.
State with reasons whether the following statements are ‘true’ or ‘false’.
(i) Every parallelogram is a rhombus.
(ii) Every rhombus is a rectangle.
(iii) Every rectangle is a parallelogram.
(iv) Every squre is a rectangle.
(v) Every square is a rhombus.
(vi) Every parallelogram is a rectangle.
Q.
Which of the following statements are true for the diagonals of a rhombus?
Q.
Which of the following statements is true for a rhombus?
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.
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(x) It can be a square.
(xi) It is a square.
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