Symmetry of Wheel (Circle with Spokes)

Transcript

Symmetry of Wheel (Circle with Spokes)It’s important to understand Line Symmetry and Rotational Symmetry of it. We will take 3 examples Wheel with 4 spokes Wheel with 5 spokes Wheel with 24 spokes Wheel with 4 spokesWheel with 4 spokes looks like Line of Symmetry: It 4 lines of reflectional symmetry. 2 lines pass through opposite spokes 2 lines pass through gaps Rotational Symmetry: Ithas rotational symmetry of order 4. The smallest angle of rotation is (360° )/4=𝟗𝟎° Wheel with 5 spokesWheel with 5 spokes looks like Line of Symmetry: It 5 lines of reflectional symmetry. 5 lines passing through the spoke Note: This is different when spokes are even in number Rotational Symmetry: It has rotational symmetry of order 5. The smallest angle of rotation is (360° )/5=𝟕𝟐° Wheel with 24 spokesWheel with 24 spokes looks like Line of Symmetry: It 24 lines of reflectional symmetry. 12 lines pass through opposite spokes 12 lines pass through gaps Rotational Symmetry: It has rotational symmetry of order 24. The smallest angle of rotation is (360° )/24=𝟏𝟓°