MathsFreePrintable

Quadrilateral Symmetry Investigation

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Quadrilateral Symmetry Investigation worksheet preview

Quadrilateral Symmetry Investigation

Geometric shapes with symmetry lines

🎯 WALT (We Are Learning To)

We are learning to identify and describe the symmetry properties of quadrilaterals.

Success Criteria:

✓ I can identify lines of symmetry in quadrilaterals
✓ I can draw lines of symmetry on shapes
✓ I can recognise rotational symmetry in quadrilaterals
✓ I can describe the symmetry properties of different quadrilaterals

📚 Part 1: Identifying Lines of Symmetry

1. A line of symmetry divides a shape into two identical halves. How many lines of symmetry does a square have?

2 lines

4 lines

6 lines

8 lines

2. Which quadrilateral has exactly 2 lines of symmetry?

Square

Rectangle

Rhombus

Trapezium

3. Which of these quadrilaterals can have NO lines of symmetry? (Tick all that apply)

Irregular quadrilateral

Square

Scalene trapezium

Rectangle

4. Draw the lines of symmetry on each quadrilateral below:

Hint: Use a ruler to draw straight lines. Remember to check if both halves match exactly when folded.

🔄 Part 2: Rotational Symmetry Investigation

5. Rotational symmetry means a shape looks the same when rotated. A square has rotational symmetry of order _______ because it looks identical after turning _______ degrees.

Fill in the blanks: Order _______ , Degrees _______

6. Match each quadrilateral to its rotational symmetry order:
Square
Rectangle
Rhombus
Regular trapezium
Order 4
Order 2
Order 2
Order 1
7. Explain in your own words what makes a shape have rotational symmetry:
8. Look at the quadrilateral properties below. Complete the symmetry table:

Table to complete:
Square: _____ lines of symmetry, rotational order _____
Rectangle: _____ lines of symmetry, rotational order _____
Rhombus: _____ lines of symmetry, rotational order _____
Irregular quadrilateral: _____ lines of symmetry, rotational order _____

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds