Write ‘T’ for true and ‘F’ for false of 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.
i. F
The diagonals of square and rectangle only are equal. Rest all the parallelograms like Rhombus etc. do not have diagonals equal in size.
ii. F
Diagonals of Rectangle do not intersect in right angle hence it is not perpendicular to each other. Only in case of Square, diagonal intersects at right angle.
iii. T
In rhombus, diagonals bisect the angles and are the perpendicular bisector of each other.
iv. F
In rhombus, every side has equal length but it in kite only pair of adjacent sides are equal in length.