1 Polygons. 2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by line segments so that each segment intersects.

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Presentation transcript:

1 Polygons

2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by line segments so that each segment intersects exactly two others, but only at their endpoints. Polygons

3 Classifications of a Polygon Convex:No line containing a side of the polygon contains a point in its interior Concave: A polygon for which there is a line containing a side of the polygon and a point in the interior of the polygon.

4 Regular:A convex polygon in which all interior angles have the same measure and all sides are the same length Irregular: Two sides (or two interior angles) are not congruent. Classifications of a Polygon

5 Polygon Names 3 sides Triangle 4 sides 5 sides 6 sides 7 sides 8 sides Nonagon Octagon Heptagon Hexagon Pentagon Quadrilateral 10 sides 9 sides 12 sides Decagon Dodecagon n sides n-gon

Polygons are named by the number of sides they have Number of sidesType of Polygon 3Triangle 4Quadrilateral 5Pentagon 6Hexagon 7Heptagon

POLYGONS Number of sidesType of Polygon 8Octagon 9Nonagon 10Decagon 12Dodecagon nn-gon

Regular Polygons Regular polygons have: All side lengths congruent All angles congruent 8

Parts of Polygons Consecitive Angles are two angles with one common side. Adjacent (consecutive) sides are side that intersect. Adjacent (consecutive) vertices are vertices of consecutive angles.