Illustrative lines of symmetry for quadrilaterals are included in the OpenCurriculum.

The imaginary lines passing through the center of the quadrilateral are the lines of symmetry.The halves of the quadrilateral are the same.

A quadrilateral is any shape with four sides that does not have a fixed number of symmetrical lines.By folding the shape along the lines, we can determine the number of lines of symmetry for any of the quadrilaterals.

Take a square and fold it over the diagonal, horizontal, and vertical segments.There are four lines in a square that divide it into two halves.A square has four lines of symmetry.A rectangle has only two lines of symmetry, as we can fold it either vertically or horizontally.If you can fold the rectangle over any of the diagonals, you have accomplished something.What have you found?

If you want to see the results of other special quadrilaterals such as parallelogram, rhombus, and kite, repeat the above procedure.Does your result match the results given?

Ans.There are diagonals that are not lines of symmetry.