Square and Rectangle Lines of Symmetry Worksheets
Teach symmetry by checking whether a fold makes the entire shape match.
Teaching notes for parents and teachers
How to teach it
Fold paper shapes or use tracing paper. Test proposed lines against the outline as well as the area on each side.
Example to work through together
Use the model below as you explain the example. Have your student point to the quantities as you discuss them.
Square: four lines of symmetry.
One vertical, one horizontal, and two diagonals.
Cut out a paper square and test each fold. Open the paper after every fold so the original shape remains easy to see.
Ask your student
Would every point on one half match a point on the other?
If your student needs help
If the student chooses any line that halves the area, compare it with an actual fold.
Choosing and using the worksheet
This sheet reuses one original square and one original non-square rectangle. New numbers keeps these same two diagrams; it does not create new shapes. Draw directly on each diagram.
Make a practice set
Select the worksheet, answer key, or both. When both are selected, the answer key prints after the questions. Keep it separate if you want your student to work independently.
After your student finishes
Choose one drawn line and explain how folding would make the halves match.
Drawing activityHalves, Thirds, and Fourths
Divide rectangles into equal parts and shade one part.
3 problems · Answer key included
Drawing activityQuadrilateral Families
Explain rectangle and square families, then draw a different quadrilateral.
3 problems · Answer key included
More about shapes · Grade 4 worksheets
Grade 4 selected skill connection: 4.G.A.3. See the Common Core standards for this grade. This worksheet does not cover every requirement in the standard.