Symmetries Land

Symmetries Land, Mirror Mirror your sure to see reflections don't get confused with all the symmetry. Fold the landscapes in half and your sure to find your way out.

Symmetry

Rotational Symmetry

With Rotational Symmetry, the shape or image can be rotated and it still looks the same.

Real World Examples

A Dartboard has Rotational Symmetry of Order 10	The US Bronze Star Medal has Order 5	The London Eye has Order ... oops, I lost count!

 

Point Symmetry

Point Symmetry

It looks the same Upside Down!

(... or from any two opposite directions*)

Point Symmetry is when every part has a matching part: the same distance from the central point but in the opposite direction.

 Point Symmetry is sometimes called Origin Symmetry, because the "Origin" is the central point about which the shape is symmetrical.

Playing Cards often have Point Symmetry, so that they look the same from the top or bottom.	These Letters have Point Symmetry, too!

Line Symmetry

Another name for reflection symmetry. One half is the reflection of the other half.

The "Line of Symmetry"  is the imaginary line where you could fold the image and have both halves match .

Plane Shapes

Not all shapes have lines of symmetry, or they may have several lines of symmetry. For example, a Triangle can have 3, or 1 or no lines of symmetry:

Equilateral Triangle (all sides equal, all angles equal)		Isosceles Triangle (two sides equal, two angles equal)		Scalene Triangle (no sides equal, no angles equal)
3 Lines of Symmetry		1 Line of Symmetry		No Lines of Symmetry

Line of Symmetry		Example Shape