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Polygons Closed figure made up of line segmentsConcave Polygon-can have reflex angles :One or more angles greater than 180o Convex Polygon-all angles greater than 0o and less than 180o
congruent Same size and same shape
similar Same shape, not necessarily the same size
Regular Polygons Polygon with all sides congruent and all angles congruent Special Regular Polygons Equilateral triangle Square
Triangle Polygon with three sides A B C Symbol: ABC
Quadrilateral Polygon with four sides quadrilateral trapezoidparallelogram kite rectangle rhombus square
Parallelogram Quadrilateral with opposite sides parallel and congruent
Rectangle Parallelogram with four right angles
Rhombus Parallelogram with four congruent sides
Square Parallelogram with four right angles and four congruent sides
Trapezoid Quadrilateral with one pair of parallel sides
Pentagon Polygon with five sides Regular Pentagon
Hexagon Polygon with six sides Regular Hexagon
Heptagon Polygon with seven sides Regular Heptagon
Octagon Polygon with eight sides Regular Octagon
Decagon Polygon with ten sides convex concave
Dodecagon Polygon with twelve sides convex concave
Total Degrees in PolygonsFigure Sides 3 # of triangles 1 x 180 = Total degrees 1800 4 2 x 180 = 3600 5 3 x 180 = 5400 180 180 180 180 180 180
Complete the Table Do you see a pattern?Figure Sides # of triangles Total degrees 6 7 8 12 n
Regular Polygons All sides congruent All angles congruent
Angle Measure Regular PolygonsWhat is degree measure of each angle of a regular polygon? E 5400 Total degrees = ?? A D Degrees = ??? C B A 1080 E D B C
Angle Measure Regular PolygonsEquilateral triangle = Measure each angle = 600 Square = Measure each angle = 900
Angle Measure Regular PolygonsRegular Hexagon = ?? Measure each angle = ?? Regular Octagon = ?? Measure each angle = ??
Polygons The End
Polygons by Amy Pihlainen
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