Q106 of 160 Page 144

State whether the statements are true (T) or false (F).
If diagonals of a quadrilateral are equal, it must be a rectangle.

FALSE

It is not required that the quadrilateral must be a rectangle , if its diagonals are equal.

In the above picture , we can see that in both the figures , both diagonals are each 5 units long, and the quadrilateral is an isosceles trapezium.

If the diagonals of a quadrilateral are equal the figure could be a rectangle, a square or an isosceles trapezium.

104

State whether the statements are true (T) or false (F).

A polygon is regular if all of its sides are equal.

105

State whether the statements are true (T) or false (F).

Rectangle is a regular quadrilateral.

107

State whether the statements are true (T) or false (F).

If opposite angles of a quadrilateral are equal, it must be parallelogram.

108

The interior angles of the triangle are in the ratio 1:2:3, then the ratio of its exterior angles is 3:2:1.

State whether the statements are true (T) or false (F).If diagonals of a quadrilateral are equal, it must be a rectangle.