Symmetry
Symmetry occurs when a shape can be divided into matching parts, and understanding line and rotational symmetry helps identify patterns.
Core concept
Line symmetry (or reflective symmetry) occurs when a shape can be folded along a line so both halves match exactly.
How it works
The line along which a shape is folded for symmetry is called the line of symmetry, and shapes can have one or more such lines.
Why it matters
Rotational symmetry occurs when a shape looks the same after being rotated by a certain angle less than a full 360° turn.
Key detail
Symmetry is found in nature, art, and architecture, and understanding it helps us appreciate patterns and design principles.
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Quick notes
• Line symmetry: shape folds to match exactly.
• Fold line = line of symmetry.
• Shapes can have one or more lines.
• Rotational symmetry: looks same after rotation.
• Rotation is less than full 360° turn.
• Symmetry found in nature, art, architecture.
• Understanding it shows patterns.
• It's important in design principles.