Constructing Symmetrical Figures – Hands-on with mirror and paper folding.

Symmetrical Figures

Symmetrical Figures

Exploring Symmetry with Mirror and Folding

Explore different types of symmetry by creating shapes and observing their mirror images. Try horizontal, vertical, and diagonal symmetry lines!

Symmetry: Horizontal
Observation:

Shapes reflected across the horizontal line create mirror images. Try moving shapes to see how their reflections change.

The Mathematics of Symmetry

Key Concepts:

Symmetry is when one shape becomes exactly like another when you move it in some way:

  • Line Symmetry: A shape has line symmetry if a line can be drawn through it so that one side is a mirror image of the other
  • Types of Symmetry: Horizontal, vertical, and diagonal are common symmetry lines
  • Folding Test: If you can fold a shape along a line and the two halves match exactly, it has symmetry
Real-world Examples:

Symmetry is everywhere in nature (butterfly wings, leaves), architecture (buildings, bridges), and art. Understanding symmetry helps in design and pattern recognition.

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