Q1 of 24 Page 194

The two diagonals are not necessarily equal in a

All sides of Rhombus are equal in length but in case of angle it is not necessary to be equal.


If all the angles are equal then it will become a square. That’s why diagonals of rhombus are not necessary to be equal in length.

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13

Name each of the following parallelograms.

(i) The diagonals are equal and the adjacent sides are unequal.


(ii) The diagonals are equal and the adjacent sides are equal.


(iii) The diagonals are unequal and the adjacent sides are equal.


(iv) All the sides are equal and one angle is 60°.


(v) All the sides are equal and one angle is 90°.


(vi) All the angles are equal and the adjacent sides are unequal.

 14

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 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.

 2

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

 3

Two adjacent angles of a parallelogram are (2x + 25)° and (3x - 5)°. The value of x is