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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.
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.