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.