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Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

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Which of the following statement is true for a rhombus? 

 It is a square.

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Fill in the blank, in the following, so as to make the statement true: 

 A rhombus is a parallelogram in which ......

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Fill in the blank, inthe following, so as to make the statement true: 

A square is a rhombus in which .....

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Fill in the blank, inthe following, so as to make the statement true: 

 A rhombus has all its sides of ...... length.

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Fill in the blank, in the following, so as to make the statement true: 

The diagonals of a rhombus ...... each other at ...... angles.

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Fill in the blank, in each of the following, so as to make the statement true: 

If the diagonals of a parallelogram bisect each other at right angles, then it is a ......

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The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?

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The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.

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ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.

 
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If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.

 

 

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Construct a rhombus whose diagonals are of length 10 cm and 6 cm.

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Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.

 

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One side of a rhombus is of length 4 cm and the length of an altitude is 3.2 cm. Draw the rhombus.

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Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.

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ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.

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Show that each diagonal of a rhombus bisects the angle through which it passes.

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ABCD is a rhombus whose diagonals intersect at O. If  AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.

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The diagonals of a quadrilateral are of lengths 6 cm and 8 cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?

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Which of the following statement is true for a rectangle? 

Its diagonals are equal and bisect each other.

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Identify all the quadrilateral that have Four sides of equal length

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