An isosceles trapezium has two parallel sides and two non-parallel sides of equal length.
In the figure, ABCD is an isosceles trapezium such that BC = AD and AB is parallel to CD.
It has only one line of symmetry along the line segment joining the mid-points of two parallel sides AB and CD.
The symmetry of a kite:
A kite, as shown in the figure has one line of symmetry along the diagonal BD
The symmetry of an arrow head:
An arrowhead, as shown in the figure, has the diagonal BD as the only line of symmetry.