Regular Polygons

Introduction A Polygon is a many-sided shape. A Regular Polygon is a many-sided shape with all sides and angles the same. An important idea in Regular Polygons is that of symmetry an example of symmetry ?

Eight Regular Polygons We will be looking at eight regular polygons: 1.Equilateral Triangle 2.Square 3.Regular Pentagon 4.Regular Hexagon 5.Regular Heptagon 6.Regular Octagon 7.Regular Nonegon 8.Regular Decagon

Equilateral Triangle 3Sides 3Lines of Symmetry Rotational Symmetry of Order 3

Square 4 Sides 4 Line of Symmetry Rotational Symmetry of Order 4

Regular Pentagon 5 Sides 5 Lines of Symmetry Rotational Symmetry of Order 5

Regular Hexagon 6 Sides 6 Lines of Symmetry Rotational Symmetry of Order 6

Regular Heptagon 7 Sides 7 Lines of Symmetry Rotational Symmetry of Order 7

Regular Octagon 8 Sides 8 Lines of Symmetry Rotational Symmetry of Order 8

Patterns of Symmetry Patterns can be created inside and outside.....

Interior and Exterior Angles You will need to know these definitions... Exterior Angles Interior Angles

Interior and Exterior Angles 360 Number of Sides = Exterior Angles 180 – Exterior Angle = Interior Angles

Ancient Tiling Because of symmetry Regular Polygons have been used for tiling for thousands of years...

SUMMARY Regular Polygons have equal sides and angles They have Line and Rotational Symmetry Each has unique Interior and Exterior Angles They can produce pattern and tiling effects SUMMARY Regular Polygons have equal sides and angles They have Line and Rotational Symmetry Each has unique Interior and Exterior Angles They can produce pattern and tiling effects