Question

The diagonal of quadrilateral bisect each other at right angle. State true or false.

Answer 1

It depends on the type of quadrilateral whether the diagonals are bisecting each other at right angles or not.
There are six basic types of quadrilaterals:
1. Rectangle
The diagonals bisect each other.

2. Square
Diagonals bisect each other at right angles.

3. Parallelogram
Diagonals bisect each other.

4. Rhombus
The diagonals bisect each other at right angles.

5. Trapezium
No special property regarding diagonals of trapezium.

6. Kite
Diagonals intersect at right angles.
The longest diagonal bisects the shortest diagonal into two equal parts.