Lesson: Symmetry

Symmetry is all around us! It can be found in shapes, nature, everyday objects, and art. In this lesson, we’ll learn what symmetry is and how to identify it in different places.

What is Symmetry?

Symmetry means that a shape or object can be divided into two equal parts that are mirror images of each other. If you fold a shape along its line of symmetry, both sides will match perfectly.

  • Example: If you draw a line down the middle of a square, both sides are the same. The square has symmetry.

Identifying Symmetry in Shapes

Many shapes have symmetry, which means they can be divided into equal parts.

  • Example: A circle, triangle, and rectangle can all have lines of symmetry.
    • A square has 4 lines of symmetry, while a rectangle has 2 lines of symmetry.

To find symmetry in a shape, think about whether you could fold it in half and have both sides match.

Symmetry in Nature

Symmetry isn’t just in shapes—it’s everywhere in nature! Flowers, leaves, and animals often have symmetrical parts.

  • Example: A butterfly’s wings are symmetrical, with each side being a mirror image of the other.
  • Example: A flower like a daisy can have lines of symmetry that divide it into equal parts.

Symmetry in Everyday Objects

You can also find symmetry in objects around you every day.

  • Example: A window, a piece of paper, or even some pieces of furniture may have symmetry.
    • Look around your room and see if you can find objects that have matching sides!

Symmetry in Art and Patterns

Artists often use symmetry to create beautiful designs and patterns. When something is symmetrical, it can look more balanced and organized.

  • Example: Many famous pieces of artwork and buildings have symmetry in their design, like the Taj Mahal, which is perfectly symmetrical from left to right.
  • Patterns often repeat in a way that shows symmetry, like wallpaper designs or fabric prints.

Identifying Symmetry in Patterns

When looking at patterns, symmetry is about finding the parts that repeat or reflect each other.

  • Example: A pattern of triangles might repeat in a way that has symmetry.
  • When you find the line of symmetry, you’ll see that the pattern is balanced on both sides.