Symmetry and asymmetry are important when it comes to sorting out different shapes in geometry.

Symmetrical Shapes:

• Triangles: An equilateral triangle has three lines that can be folded over to match exactly.
• Quadrilaterals: A square has 4 lines of symmetry, while a rectangle has 2 lines.
• Circles: Circles have endless lines of symmetry. You can draw a line through a circle in many ways, and both sides will always look the same.

Asymmetrical Shapes:

• Triangles: Scalene triangles don’t have any lines of symmetry. No matter how you draw a line, the two sides will never match.
• Quadrilaterals: Trapezoids can have 1 line of symmetry, but most irregular quadrilaterals have none at all.

Statistics:

• About 60% of common geometric shapes show some type of symmetry. This is important for how we identify and use these shapes in the real world.