Question

If the diagonals of a quadrilateral bisect each other at right angle then it is a ______.

Options

• square

• rectangle but not a square

• parallelogram but not a square

• kite but not a square

Answer 1

If the diagonals of a quadrilateral bisect each other at right angle then it is a parallelogram but not a square.

Explanation:

If the diagonals bisect each other, the quadrilateral is a parallelogram.

If those diagonals also meet at right angles, the parallelogram is a rhombus a square is a special rhombus. 

So, the figure is a rhombus i.e., a parallelogram with perpendicular diagonals.