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Find Lines of Symmetry

Read at your own pace. Try the practice, then continue your course.

Test whether a shape has line symmetry by checking if two halves match when folded or reflected.

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THE CURIOSI · EXPLORE & TRY

Test the fold: square versus rectangle

Explore the model, then test your understanding. Select each numbered stop to discover its role.

Square: 4 linesRectangle: 2 lines
Learning diagram: use the labelled values. Screen size changes, so these pictures are not calibrated measuring tools.
1Square: 4 lines

The square has vertical, horizontal and two diagonal symmetry lines.

2Rectangle: 2 lines

This non-square rectangle has horizontal and vertical symmetry lines, but not diagonal ones.

3Mirror halves

The two halves must coincide after reflection across the proposed line.

4Check the exact shape

A centred line is not automatically a symmetry line. Exact geometry and approximate natural symmetry differ.

Use matching units and the stated properties. Explain whether your answer measures length, area or volume.

Quick check · 3 questions

Choose one answer for each question, then check. Practice results stay on this page and do not change course completion.

1. How many symmetry lines does a square have?
2. Does a non-square rectangle’s diagonal give matching folded halves?
3. What is the test for a symmetry line?

Read the answer explanations
  1. A square has four lines of symmetry.
  2. A non-square rectangle’s diagonals do not make coinciding mirror halves.
  3. Reflection or a matching fold tests line symmetry.

For hands-on practice, use a real ruler, square paper or blocks. Keep units visible and explain your method.

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