Lines of symmetry worksheets

A line of symmetry is a fold that makes the two halves match. These free printable worksheets show a shape and ask how many such folds it has, and the first standard where the figure genuinely is the question.

Lines of symmetry
Lines of symmetry worksheet — Triangles, quadrilaterals, polygons, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Every shape appears upright and turned. A child who has learned "a square has four" from one picture has learned something about that picture, not about squares, and turning a square forty-five degrees makes it look like a diamond — which is the classic mistake this standard is about.

Why this sheet works

The parallelogram is the shape worth waiting for. It looks as though it should fold in half, and it does not: neither diagonal nor either midline maps it onto itself. Children reliably answer two, and finding out why the answer is zero is a better lesson than any number of squares.

How this one works

Lines of symmetry: rhombus

  1. A line of symmetry is a FOLD: crease along it and the two halves must land exactly on each other. Not "looks balanced" — land on each other.
  2. Here is one of them. Crease along that line and the part on the left lands exactly on the part on the right — that is what makes it count.
  3. Every other crease that works is drawn now — 2 altogether for a rhombus.