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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.