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100 points What is the name of a polygon with 6 sides?

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100 Points A Hexagon!

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200 Points What is the name of a polygon with 7 sides?

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A Heptagon or Septagon! 200 Points

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300 Points What is the name of a regular polygon with an exterior angle of 36 o ?

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N = 10 A Decagon 300 Points

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400 Points What is the name of a polygon with an interior angle sum of 1260 0 ?

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N = 9 A Nonagon! 400 Points

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500 Points What is the name of a regular polygon with an interior angle of 150 o ?

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500 Points N = 12 A dodecagon!

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What is the formula or strategy you would use to calculate the measure of an exterior angle of a regular polygon? 100 Points

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Exterior Angle = 360/n 100 Points

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200 Points What is the formula you would use to calculate the sum of the interior angles?

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Interior Sum = (n-2)180 200 Points

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300 Points What is the formula you would use to calculate one interior angle of a regular polygon?

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300 Points Interior Angle = (n-2)180 n

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400 Points If you are given the interior angle, how would you calculate the exterior angle?

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400 Points The interior and exterior angles are supplementary, so Exterior = 180 - interior

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500 points Set up the equation that you would use to solve for x. Dont solve it. x0x0 x0x0 x0x0 x0x0 X + 10 0

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500 points 4x + 4(x+10) = 1080 Or 8x + 40 = 1080 x0x0 x0x0 x0x0 x0x0 X + 10 0

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100 Points Draw a polygon and label and interior angle.

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100 points x

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200 Points Draw a polygon and label the exterior angle.

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200 Points x

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300 Points What is the name of an 8 sided figure?

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300 Points Octagon

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500 Points Draw a hexagon and label the central angle

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500 Points

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100 Points What is the sum of the interior angles of a 56-gon?

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Sum = 9720 o 100 Points

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200 Points What is the measure of one interior angle in a 14-gon?

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Interior angle = 154.3 o 200 Points

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300 Points If the measure of the exterior angle is 81 o, what is the measure of the interior angle?

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300 Points interior angle = 99 o

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400 Points Solve for x. X 87 o 141 o 140 o 85 o 135 o

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400 Points X = 132 0

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500 Points What are the measures of each angle? 2x + 10 5x + 2 3x + 4 2x + 10 A D E C B

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500 Points X = 34 m
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100 Points What is the sum of the exterior angles of a 256-gon?

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100 Points Sum = 360 o

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200 Points What is the measure of one exterior angle of a regular nonagon?

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200 Points Exterior angle = 40 0

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300 Points If the measure of an interior angle is 120 o, what is the measure of the corresponding exterior angle?

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300 Points Exterior angle = 60 o

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400 Points Solve for x. 4x + 1 4x + 2 3x + 6 3x + 1

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400 Points X = 25

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500 Points Solve for x. 5x

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500 Points X = 9

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100 Points What is the measure of the central angle of a pentagon?

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100 Points Central angle = 72 o

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200 Points What is the measure of the central angle of a decagon?

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200 Points Central angle = 36 o

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300 Points How many sides does a regular polygon have if the central angle is 15 o ?

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300 Points N = 24 sides

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400 Points Autumn went to the fair and rode the Ferris wheel. If the Ferris wheel had 18 cars that were evenly spaced, what was the measure of the central angle separating the spokes?

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400 Points Central angle = 20 o

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500 Points Chris is designing a decagonal merry-go-round for his local park. If Chris wants 10 bars going from the center to the edge to be evenly spaced, how many degrees apart must he place them?

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500 Points Chris must place the bars 36 o apart.

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List the names of the polygons with three sides all the way through 12 sides. Include name and number of sides.

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Triangle (3), Quadrilateral (4), pentagon (5), hexagon (6), heptagon/Septagon (7), octagon (8), nonagon (9), decagon (10), undecagon/hendecagon (11), dodecacon (12)

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Daily Double What do you call a polygon with 11 sides?

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11 Area of Regular Polygons and Circles

11 Area of Regular Polygons and Circles

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