Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.

True/false Diagonals of a paralllelogram are perpendicular to each other.

Diagonals of a rectangle are perpendicular to each other.

The diagonals of a rhombus are perpendicular to each other.

The diagonals of a rhombus are perpendicular to each other .

Diagonals of a rectangled are equal are perpendicular. Is this statement true? Give reasons for your answer.

Diagonals of a rectangle are equal and perpendicular. Is this statement true ? Give reason for your answer.

Diagonals of a rectangle are equal and perpendicular. Is this statement true ? Give reason for your answer.

The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is ‘No’, draw a figure to justify your answer.