Study Guide for the Interior Angles of Polygons
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Explain how to use the number of sides to find the sum of the interior angles of polygons. | show 🗑
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| show | (n-2) x 180 = the sum of the interior angles of a polygon. Divide this number by the number of sides.
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| What are the differences between a regular and an irregular polygon? | show 🗑
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| show | With regular polygons you can use the rule (n-2)x180/n.
With irregular polygons you cannot use this rule because the angles are not congruent.
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| Find the sum of the interior angles of a nonagon. | show 🗑
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| show | 720 degrees
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| Find the sum of the interior angles of a decagon. | show 🗑
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| Find the sum of the interior angles of a 18-gon. | show 🗑
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| show | 108 degrees
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| show | 150 degrees
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| Find the measure of one interior angle for a regular octagon | show 🗑
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| show | The number of sides minus 2 is equal to the number of triangles.
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| Explain how triangulating a polygon can be used to find the sum of the interior angles of a polygon. | show 🗑
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| show | Start from one vertex to draw non-intersecting diagonals.
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| show | 120 degrees
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| What is the measure of one angle of a regular nonagon? | show 🗑
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| A regular pentagon and an irregular pentagon both have the same total interior angle measurement. True or False | show 🗑
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| Angles of a regular polygon are not equal. True or False | show 🗑
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| show | True. Regular polygons have congruent angles and sides.
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| show | False. A rectangle has congruent angles, but it does not have congruent sides.
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| show | True. A square has congruent angles and sides so it is a regular polygon.
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| show | A triangle with all angles measures less than 90 degrees.
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| show | A triangle with at least two congruent sides; two side lengths are the same.
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| show | A triangle with one 90 degree angle.
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| show | A triangle that has NO congruent sides; all side lengths are different.
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| equilateral triangle | show 🗑
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| show | A triangle with one obtuse angle; one angle measure is greater than 90 degrees.
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| show | A three sided polygon.
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| triangle sum theorem | show 🗑
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| leg | show 🗑
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| hypotenuse | show 🗑
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| show | The rule that says the smallest side length plus the medium side length must have a sum greater than the largest side length. Small + Medium > Large
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| show | triangle
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| show | quadrilateral
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| show | pentagon
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| 6 sided shape | show 🗑
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| 7 sided shape | show 🗑
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| 8 sided shape | show 🗑
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| 9 sided shape | show 🗑
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| 10 sided shape | show 🗑
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| show | hendecagon or an 11-gon
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| show | dodecagon
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| show | pentadecagon
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| show | (n-2) x 180 where n is the number of sides on the polygon
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| Number of triangles formed when a polygon is divided into triangles using diagonals (triangulation) | show 🗑
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| The measure of each interior angle of a regular polygon | show 🗑
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| show | The process of dividing a polygon into triangles by drawing its diagonals
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| Polygon | show 🗑
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| Regular Polygon | show 🗑
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| show | Having the same size and shape
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| show | (n-2) x 180 = the sum of the interior angles of a polygon
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| show | (n-2) x 180 = the sum of the interior angles of a polygon. Divide this number by the number of sides.
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| show | Regular polygons have side and interior angle measurements that are are congruent.Irregular polygons do not have congruent side or interior angle measurements.
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| show | With regular polygons you can use the rule (n-2)x180/n. With irregular polygons you cannot use this rule because the angles are not congruent.
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| show | 1260 degrees
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| Find the sum of the interior angles of a hexagon. | show 🗑
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| show | 1440 degrees
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| Find the sum of the interior angles of a 18-gon. | show 🗑
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| show | 108 degrees
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| Find the measure of one interior angle for a regular 12 sided figure. | show 🗑
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| Find the measure of one interior angle for a regular octagon. | show 🗑
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| show | The number of sides minus 2 is equal to the number of triangles.
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| Explain how triangulating a polygon can be used to find the sum of the interior angles of a polygon. | show 🗑
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| What is the easiest way to triangulate a polygon? | show 🗑
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Created by:
theboss1000
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