Naming Polygons HOMEWORK: Complete ‘Name That Polygon’ Activities WS Naming a polygon by its number of sides requires that we know the appropriate Greek prefixes along with some rules for their use. For polygons with 3 through 20 sides, simply add "gon" to the prefixes to the right - although a trigon is more commonly called a triangle and a tetragon, a quadrilateral! 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 = = = = = = = = = = = = = = = = = = tri tetra penta hexa or sexa hepta octa nona deca undeca dodeca triskaideca tetradeca pentadeca hexadeca heptadeca octadeca enneadeca icosa 21 - 99 SIDES To "construct" a name, we start with the prefix for the tens digit, follow it by "kai" (the Greek word for "and"), then follow it with the prefix for the units digit, and finally add "gon." Example: A 35-sided polygon is called a "triacontakaipentagon." 30 and 5 gon triaconta kai penta gon For more than 20 sides, we "construct" the name by combining prefixes: 20 30 40 50 60 70 80 90 Tens Digit = icosi = triaconta = tetraconta = pentaconta = hexaconta = heptaconta = octaconta = enneaconta + 1 2 3 4 5 6 7 8 9 = = = = = = = = = Ones Digit hena di tri tetra penta hexa hepta octa ennea 25 = icosi + kai + penta+ gon = icosikaipentagon 77 = heptaconta + kai + hepta + gon = heptacontakaiheptagon 100 - 999 SIDES For numbers from 100 to 999, we need one more combining prefix and another rule. To "construct" the name, we start with the prefix for the hundreds digit taken from the "Ones Digit" table above, follow it by "hecta," then proceed as before. Example: A 672-sided polygon is called a "hexahectaheptacontakaidigon." 100 = 600 hexa + hecta 70 heptaconta hecta and kai 2 di gon gon Now you try some 914 sides 75 sides 753 sides Triskaidecagon 13 Tetrakaidecagon 14 Pentadecagon 15 Hexakaidecagon 16 Heptadecagon 17 Octakaidecagon 18 Enneadecagon 19 Icosagon 20 Triacontagon 30 Tetracontagon 40 Pentacontagon 50 Hexacontagon 60 Heptacontagon 70 Octacontagon 80 Enneacontagon 90 Hectagon 100 Chiliagon 1,000 Myriagon 10,000 Megagon 1,000,000 Googolgon 10100 Hectagon 100 Chiliagon 1,000 Myriagon 10,000 Megagon 1,000,000 Googolgon 10100 How many sides?? Tetracontakaihexagon Icosikaioctagon Octacontakaihexagon Heptacontakaitrigon Octacontakaitrigon Dihectapentacontakaiheptagon Enneahectaenneacontakaienneagon