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Objectives: SWBAT Classify polygons SWBAT determine the sum of the measures of the interior angles of a polygon SWBAT determine the measure of one interior angle of a regular polygon

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**Polygon – simple, closed figure formed by three or more line segments**

Polygon – simple, closed figure formed by three or more line segments . Segments intersect only at endpoints. 1

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**1 How are polygon’s classified? octagon decagon hexagon**

By the number of sides they have octagon decagon hexagon 1

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**1 What are regular polygons?**

A polygon that has all sides congruent and all angles congruent. 1

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**Determine whether the figure is a polygon**

Determine whether the figure is a polygon. If it is, classify the polygon. If it is not a polygon, explain why. The figure has 5 sides that only intersect at their endpoints. Answer: It is a pentagon.

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**A B C D Classify the polygon. A. nonagon B. regular hexagon**

C. Regular heptagon D. regular pentagon A B C D

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**A B C D Which best describes the figure? A. hexagon; regular**

B. hexagon; not regular C. octagon; regular D. octagon; not regular A B C D

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**A B C D Which best describes the figure? A. polygon; regular**

B. cone; regular C. quadrilateral; not regular D. not a polygon A B C D

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**A B C D Which best describes the figure? A. hexagon; not regular**

B. pentagon; not regular C. pentagon; regular D. not a polygon A B C D

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**Find the sum of the measures of the interior angles of a heptagon.**

1260° B ° C ° D ° Read the Test Item The sum of the measures of the interior angles is (n – 2)180. Since a heptagon has 7 sides, n = 7.

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Solve the Test Item (n – 2)180 = (7 – 2)180 Replace n with 7. = 5 ● 180 Simplify. = 900 Multiply. The sum of the measures of the interior angles of a heptagon is 900°. Answer: The answer is C.

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**A B C D What is the sum of the interior angles of an octagon? A. 540°**

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**A B C D What is the sum of the interior angles of a 25-gon ? A. 540°**

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**TRAFFIC SIGNS A stop sign is a ___________ ___________.**

What is the sum of the measures of the interior angles in a stop sign? What is the measure of one interior angle in a stop sign? Divide the sum by 8 to find the measure of one angle. 1080 ÷ 8 = 135 Answer: So, the measure of one interior angle in a stop sign is 135°.

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**A B C D Find the measure of each interior angle of a regular decagon.**

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**PICNIC TABLE A picnic table in the park is a regular hexagon**

PICNIC TABLE A picnic table in the park is a regular hexagon. What is the measure of one interior angle in the picnic table? A. 720° B ° C. 120° D. 108° A B C D

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Angles of Polygons.

Angles of Polygons.

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