A kite, which is a quadrilateral with two different pairs of adjacent sides that are equal in length, has only one line of symmetry. A line of symmetry for any polygon can be found by reflecting the polygon over a line so that the polygon or figure is divided into two halves that are mirror-images. In a kite, this line of symmetry is down its center.
The quadrilateral family consists of different polygons, including kites, rectangles, rhombi and squares. A quadrilateral is a polygon that has four straight sides. Students can learn how to find lines of symmetry in different polygons by cutting out the shape and then folding the figure in different ways until two identical halves are found.
A polygon with a symmetry line has reflection symmetry. Although a kite is a quadrilateral with one line of symmetry, another quadrilateral like a square has four lines of symmetry. Irregular quadrilaterals are four-sided polygons that do not have lines of symmetry.
Symmetry lines can be found for many other regular polygon shapes, including triangles, hexagons, pentagons and octagons. Regular polygons have sides that are all the same length and as many symmetry lines as sides. For example, an octagon, which has eight equal sides, has eight lines of symmetry.