Upload
vuongthuan
View
216
Download
3
Embed Size (px)
Citation preview
Polygons Classify.doc 1 revised:10/13/2006
Geometry
Polygons Classifying them!
First a few definitions; a Polygon is defined as a two-dimensional figure made up of non-intersecting line segments connected end to end. Can you identify the Polygons from the figures below?
These are POLYGONS These are NOT POLYGONS
Polygon Parts & Generally accepted Names
Side - one of the line segments that make up the polygon.
Vertex - point where two sides meet. Two or more of these points
are called vertices.
Diagonal - a line connecting two vertices that isn't a side.
Interior Angle - Angle formed by two adjacent sides inside the
polygon.
Exterior Angle - Angle formed by two adjacent sides outside the
polygon.
Name of Polygon Number of Sides Name of Polygon Number
of Sides Triangle 3 Octagon 8
Quadrilateral 4 Nonagon 9 Pentagon 5 Decagon 10 Hexagon 6 Dodecagon 12 Heptagon 7 n-gon n
Polygons Classify.doc 2 revised:10/13/2006
Polygon Relationships Here is a graphic organizer that should help you classify polygons by their characteristics. Complete the NAMES in each polygon and make marks of CONGRUNCE or where a RIGHT ANGLE exists to help show the properties of the Polygon.
Polygons
Triangles Quadrilaterals
No Sides Parallel
One pair of Parallel
sides
Both sets of sides are
parallel
Polygons Classify.doc 3 revised:10/13/2006
EXTEND and go farther… Other Polygon Relationships
Here is a table listing the prefixes and suffixes that are suggested to name polygons. Try looking at the list and naming a polygon with more than 10 sides. First look a a few examples.
Polygon Names These are names for other polygons that have been proposed.
Sides Name Sides Name 9 Nonagon, Enneagon 30 Triacontagon
11 Undecagon, Hendecagon 40 Tetracontagon 13 Tridecagon, Triskaidecagon 50 Pentacontagon 14 Tetradecagon, Tetrakaidecagon 60 Hexacontagon 15 Pentadecagon, Pentakaidecagon 70 Heptacontagon 16 Hexadecagon, Hexakaidecagon 80 Octacontagon 17 Heptadecagon, Heptakaidecagon 90 Enneacontagon 18 Octadecagon, Octakaidecagon 100 Hectogon, Hecatontagon 19 Enneadecagon, Enneakaidecagon 1,000 Chiliagon 20 Icosagon 10,000 Myriagon
To construct a name, combine the prefix + suffix
Sides Prefix 20 Icosikai... 30 Triacontakai... 40 Tetracontakai... 50 Pentacontakai... 60 Hexacontakai... 70 Heptacontakai... 80 Octacontakai... 90 Enneacontakai...
+
Sides Suffix +1 ...henagon +2 ...digon +3 ...trigon +4 ...tetragon +5 ...pentagon +6 ...hexagon +7 ...heptagon +8 ...octagon +9 ...enneagon
Here’s Two Examples: 46 sided polygon - Tetracontakaihexagon 28 sided polygon - Icosikaioctagon
Try some: Instead of saying an N-gon with 46 sides, or using a 46-gon, try to come up with it’s name.
1. Name a 34 sided polygon 2. Name a 67 sided polygon