View largerLines of symmetry chart
What a line of symmetry is, with the number of lines of symmetry in common shapes
1 page32 KB
Lines of Symmetry Worksheets
A lines of symmetry chart, checking dashed lines, drawing every line of symmetry on shapes, letters and regular polygons, and completing figures.
Download the lines of symmetry worksheets
Lines of symmetry chart and shapes
View larger
View all 2 pagesIs it a line of Symmetry?
Deciding whether a dashed line folds a shape into two matching parts
Answer key on page 2
2 pages34 KB
View all 2 pagesSymmetrical or Not?
Deciding whether a shape has a line of symmetry and drawing one when it does
Answer key on page 2
2 pages33 KB
View all 2 pagesDraw lines of Symmetry, sheet A
Drawing every line of symmetry on squares, rectangles, triangles, kites and other shapes
Answer key on page 2
2 pages32 KB
View all 2 pagesDraw lines of Symmetry, sheet B
Drawing every line of symmetry on regular polygons, stars, crosses and arrows
Answer key on page 2
2 pages33 KB
Letters, polygons and completing figures
View all 2 pagesLines of symmetry in letters
Drawing lines of symmetry on capital letters and finding letters with none, one or two
Answer key on page 2
2 pages31 KB
View all 2 pagesSymmetry in regular polygons
Drawing the lines of symmetry of regular polygons and finding the pattern: as many lines as sides
Answer key on page 2
2 pages43 KB
View all 2 pagesComplete the symmetric Figure, sheet A
Shading squares to complete figures that are symmetric about a vertical line
Answer key on page 2
2 pages32 KB
View all 2 pagesComplete the symmetric Figure, sheet B
Completing figures that are symmetric about horizontal and diagonal lines of symmetry
Answer key on page 2
2 pages32 KB
Print at 100% (actual size) for the cleanest tracing lines.
About these lines of symmetry worksheets
A line of symmetry is a line across a shape so that the shape folds along it into two matching halves. A square has 4 lines of symmetry, a rectangle has 2, an isosceles triangle has 1, and a parallelogram that is not a rectangle or rhombus has none.
A regular polygon has as many lines of symmetry as it has sides: an equilateral triangle has 3, a regular hexagon has 6. Capital letters work too: A has one line, H has two, and Z, N and S have none, even though they look the same upside down.
Every line of symmetry in these answer keys was found by reflecting the drawing and checking that it matches itself exactly, so the symmetric shapes are truly symmetric and the others are not. Practice pages have keys on page 2.
Standards
CCSS.MATH.CONTENT.4.G.A.3Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
How to use them
- Teach from the Lines of Symmetry Chart; try folding paper shapes.
- Use Is It a Line of Symmetry? and Symmetrical or Not?
- Use Draw Lines of Symmetry A, then B with stars, crosses and regular polygons.
- Finish with letters, regular polygons and Complete the Symmetric Figure.
Teaching tips
- A diagonal is a line of symmetry for a square but not for a rectangle.
- Use a small mirror on the dashed line to check.
- Turning a shape does not change how many lines of symmetry it has.
Questions teachers and parents ask
How many lines of symmetry does a rectangle have?
2: one across the middle each way. The diagonals are not lines of symmetry unless the rectangle is a square.
How many lines of symmetry does a circle have?
Infinitely many. Any line through the center folds a circle into matching halves.
Which letters have no line of symmetry?
In the block letters on our sheets, F, L, N and Z have none. N and Z look the same turned halfway around, but that is a different kind of symmetry.