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**Polygons Closed figure made up of line segments**

Concave Polygon-can have reflex angles :One or more angles greater than 180o Convex Polygon-all angles greater than 0o and less than 180o

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congruent Same size and same shape

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similar Same shape, not necessarily the same size

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Regular Polygons Polygon with all sides congruent and all angles congruent Special Regular Polygons Equilateral triangle Square

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Triangle Polygon with three sides A B C Symbol: ABC

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**Quadrilateral Polygon with four sides quadrilateral trapezoid**

parallelogram kite rectangle rhombus square

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Parallelogram Quadrilateral with opposite sides parallel and congruent

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Rectangle Parallelogram with four right angles

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Rhombus Parallelogram with four congruent sides

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Square Parallelogram with four right angles and four congruent sides

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Trapezoid Quadrilateral with one pair of parallel sides

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Pentagon Polygon with five sides Regular Pentagon

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Hexagon Polygon with six sides Regular Hexagon

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Heptagon Polygon with seven sides Regular Heptagon

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Octagon Polygon with eight sides Regular Octagon

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Decagon Polygon with ten sides convex concave

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Dodecagon Polygon with twelve sides convex concave

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**Total Degrees in Polygons**

Figure 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

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**Complete the Table Do you see a pattern?**

Figure Sides # of triangles Total degrees 6 7 8 12 n

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Regular Polygons All sides congruent All angles congruent

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**Angle Measure Regular Polygons**

What 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

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**Angle Measure Regular Polygons**

Equilateral triangle = Measure each angle = 600 Square = Measure each angle = 900

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**Angle Measure Regular Polygons**

Regular Hexagon = ?? Measure each angle = ?? Regular Octagon = ?? Measure each angle = ??

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Polygons The End

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