Symmetry Worksheets

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Find here a variety of free printable symmetry worksheets. These worksheets will help you test your knowledge of line symmetry and rotational symmetry.

Symmetry Worksheet Generator

Choose a topic and options, then print the worksheet. Each worksheet comes with its own answer key.

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Answer key
Enter the same code and options to get the same worksheet again.

Types of symmetry worksheets you can make

Line symmetry:

  • Is it a line of symmetry?: a dashed line is drawn on each figure, and students circle Yes or No. This includes common traps, like the diagonal of a rectangle.
  • Draw and count the lines of symmetry: students draw every line of symmetry and write how many there are. Some figures have none, and a circle has infinitely many.

Rotational symmetry:

  • Rotational symmetry: write the order of rotational symmetry and the smallest angle of rotation, like 360° ÷ 5 = 72°, or “none” when a figure only looks the same after a full turn
  • Line and rotational symmetry: find both for each figure on the same worksheet

On grid paper:

  • Complete the symmetric picture: shade squares on the other side of the dashed line to finish the picture
  • Reflect a shape across a line: reflect a shape that sits away from the mirror line, keeping each square the same distance from the line

Choose the figures:

  • polygons: triangles, squares, rectangles, rhombuses, parallelograms, kites, trapezoids, and regular pentagons, hexagons and octagons
  • everyday shapes: stars, a plus sign, an arrow, a heart, a circle, a semicircle, pinwheels and a lightning bolt
  • capital letters, like A, H, N, S and Z
  • shapes and letters mixed

Make each worksheet your own:

  • some shapes are turned, so they aren’t always standing upright
  • on grid paper, choose a vertical, horizontal or diagonal line of symmetry, or a mix
  • choose an 8 by 8 grid (easier) or a 12 by 12 grid
  • choose how many problems to include, from 4 to 16
  • colorful pictures, or turn the colors off to save ink
  • every worksheet comes with an answer key, with the lines of symmetry drawn in red and the missing squares shaded in

Tips:

A figure has line symmetry if one half of the figure is a mirror image of its other half

A figure has rotational symmetry If the figure is its own image for a rotation of 180 degrees or less.

Line symmetry worksheets that will help you practice line symmetry.


Rotational symmetry worksheet that will help you practice rotational symmetry