Question:
Write 'T' for true and 'F' for false for each of the following:
(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 bisect each other at right angles.
(iv) Every rhombus is a kite.
Solution:
(i) F
The diagonals of a parallelogram need not be equal in length.
(ii) F
The diagonals of a rectangle are not perpendicular to each other.
(iii) T
(iv) T
Adjacent sides of a kite are equal and this is also true for a rhombus. Additionally, all the sides of a rhombus are equal to each other.