Which of the following statements is not true?
(a) A square is a rectangle.
(b) If one angle of a parallelogram is right angle, then each of the remaining angles is also right angle.
(c) If the diagonals of a parallelogram divide it into two isosceles triangles, then the parallelogram is a rhombus.
(d) The opposite angles of a parallelogram are bisected by its diagonals.

Given :

The properties of quadrilaterals are given as options.

To do :

We have to find which one of the options is not true.

Solution :

(a) A square is a rectangle.

It is true. because a square satisfies all the properties of a rectangle.

(b) If one angle of a parallelogram is right angle, then each of the remaining angles

is also right angle.

It is true. Because in a parallelogram opposite angles are equal and adjacent angles add up to 180°.

(c) If the diagonals of a parallelogram divide it into two isosceles triangles, then the parallelogram is a rhombus.

It is true. Because in a parallelogram, if adjacent sides are equal then it is a rhombus.

(d) The opposite angles of a parallelogram are bisected by its diagonals.

It is not true. Because opposite angles of a parallelogram not bisected by its diagonals.

Therefore, option (d) The opposite angles of a parallelogram are bisected by its diagonals is not true.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

122 Views

Kickstart Your Career

Get certified by completing the course

Get Started