Symmetry Worksheets

Two skills, deliberately split

Identify the lines gives a shape and asks how many lines of symmetry it has. That builds the vocabulary and the confidence with standard shapes.

Complete the figure gives half a figure on a grid with a mirror line, and asks the learner to draw the other half. That is a drawing skill as much as a geometry one, and it is where most pupils lose accuracy.

Keeping them apart is the whole design. A mixed sheet is for revision at the end, not for teaching at the start.

The answers, for the shapes you will meet

A square has four lines. A rectangle has two, which catches out children who expect four because it looks like a square that got longer. An equilateral triangle has three, an isosceles triangle has one, and a regular hexagon has six.

A circle has infinitely many, and that one is worth stopping on rather than skipping. It is usually a child's first encounter with an answer that is not a number, and the reasoning behind it, that any line through the centre works, is more valuable than the answer.

The letters set, and what is missing from it

A, H, M, T, O and X. Six letters, and the selection is not arbitrary: those are letters with at least one line of symmetry. F and R and the rest are deliberately left out, because a letter with no symmetry is not a question, it is a trick.

The set is a good cross-curricular hook. A vertical line of symmetry is an abstract idea until a child sees it running down the middle of an A, and then it is obvious. H and O are the interesting ones, because they have two.

Reflections happen on a grid, on purpose

Complete-the-figure tasks are drawn on squares so the learner counts across rather than judging by eye, which is the Key Stage 2 method and the one that actually produces accurate work.

The mirror line is always vertical or horizontal, never diagonal. A diagonal reflection cannot be counted reliably on a square grid, and asking for one produces a lesson in frustration rather than in symmetry.

The answer key draws the full reflected figure on the same grid, so a pupil can lay it beside their own and see exactly which square went wrong.

How to teach it in order

1. Basic shapes, identify only. Get them to imagine folding the shape along each line before they count anything.
2. Letters, identify only. Same task, more concrete, and it lands with children who found the shapes abstract.
3. Complete the figure, basic shapes. Insist on counting squares. Eyeballing it is the source of nearly every error at this stage.
4. Mixed, both task types. Revision only.

One check worth teaching alongside the counting: the reflected point must be the same distance from the mirror line as the original. A child who applies that will catch their own mistakes without being marked.

One limit worth knowing

Lines of symmetry are counted for the outline of the printed shape, not for anything inside it. So a shape is symmetrical here if its silhouette is, regardless of pattern or shading, which is the convention primary work uses and the one the answer key follows.