Q2 of 58 Page 17

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

(i) A rhombus is a parallelogram in which _______.


(ii) A square is a rhombus in which _________.


(iii) A rhombus has all its sides of ______ length.


(iv) The diagonals of a rhombus _____ each other at ______ angles.


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

(i) A rhombus is a parallelogram in which opposite sides are equal and parallel.


(ii) A square is a rhombus in which all four sides are equal.


(iii) A rhombus has all its sides of equal length.


(iv) The diagonals of a rhombus bisect each other at right angles.


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


More from this chapter

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29

In a parallelogram ABCD, AB = 10cm, AD = 6 cm. The bisector of ∠A meets DC in E, AE and BC produced meet at F. Find the length CF.

 1

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.

3

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

 4

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.