A quadrilateral is an object formed by four straight lines - two of which meet at an angle. A diagonal is one of the lines which go from one angle to the one other angle in the quadrilateral which it is not already connected to.
If the angles of the quadrilateral are A, B, C and D, and A is connected by a straight line to B and D then the diagonal is a line between A and C.
A--B
| \ |
D--C
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Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.
Square
In this case, the quadrilateral is sometimes a parallelogram.
a quadrilateral in which diagonal are not congruent and larger diagonal is perpendicular bisector of smaller diagonal then it is known as kite
A rectangle.