Similarly, a regular polygon with N sides has N lines of symmetry. Be careful to count each line only once!Does a rectangle have as many lines of symmetry as a square? Look at the example below.Notice that both sides of the happy face look exactly the same. That means this figure is symmetrical.Look at the next example. This new shape --- the combination of the triangular half of the original rectangle and its image in the mirror --- is called a kite.Well before children begin any formal study of symmetry, playing with mirrors -- perhaps on Pattern Block designs that they build -- develops experience and intuition that can serve both their geometric thinking and their artistic ideas. One simple way to see if a figure is symmetrical is to draw it on paper and fold it in half. If you fold this rectangle diagonally so that Corner A meets Corner D, the sides would not match. A figure has rotational symmetry if some rotation (other than a full 360° turn) produces the same figure. The star below has 5 lines of symmetry, five lines on which it can be folded so that both sides match perfectly.When a mirror is placed along the diagonal of a rectangle, the result does not look the same as the original rectangle, so the diagonal is not a line of symmetry. If you fold it where the line is, each side would match perfectly. This figure is not symmetrical. Click below to download our Common Core-aligned free samples now.Helping with Math is one of the largest providers of math worksheets and generators on the internet. Work through the lessons below to help your child to gain an understanding lines of symmetry and identify symmetrical, and non-symmetrical objects.Learning Takeaways: After this lesson, students will be able to:This section will help your child to identify whether a figure is symmetrical.A figure is symmetrical if it can be split exactly in half. Only half of it is drawn.

As a result, school materials tend to use the word symmetry as if it had only that one meaning. You can draw lines of symmetry on many different figures. If the sides match completely, it is symmetrical.This section will help your child to draw lines of symmetry on a figure.A line of symmetry divides a figure in half. Note that for regular polygons, the number of lines of symmetry is same as the number of sides that the shape has.You can click the links below and get your child to try the symmetry worksheets. 3 Lines of Symmetry : 1 Line of Symmetry : No Lines of Symmetry: Quadrilaterals . Infinite Lines of Symmetry The result that one sees -- half of the original and the mirror image of that half -- exactly matches the original figure. Any rotation of any amount around the center of the circle also leaves the circle unchanged.You may also like Length, width, height, depth, volume and right angle. Can you figure out why?The lightning bolt is not symmetrical because it does not split in half with two equal sides. They will then write the number of lines of symmetry they have identified. Can you think of which direction the line of symmetry cannot go?A rectangle cannot have a diagonal line of symmetry like a square because the sides are not the same length. Remember that a line of symmetry will split a figure in half so that each piece is exactly the same. Some other patterns also have five lines of symmetry, such as a star. The colorful design above has only vertical and horizontal lines of symmetry, but placing a mirror on it at another angle can create a beautiful new design.The first figure below shows that the letter A has a vertical line of symmetry, but it's rather "tame" play.