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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 1 Polygon – simple, closed figure formed by three or more line segments. Segments intersect only at endpoints.

3 1 How are polygon’s classified? By the number of sides they have octagon hexagon decagon

4 1 What are regular polygons? A polygon that has all sides congruent and all angles congruent.

5 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.

6 A.A B.B C.C D.D A.nonagon B.regular hexagon C.Regular heptagon D.regular pentagon Classify the polygon.

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

8 A.A B.B C.C D.D A.polygon; regular B.cone; regular C.quadrilateral; not regular D.not a polygon Which best describes the figure?

9 A.A B.B C.C D.D A.hexagon; not regular B.pentagon; not regular C.pentagon; regular D.not a polygon Which best describes the figure?

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11 Find the sum of the measures of the interior angles of a heptagon. A. 1260° B. 1080° C. 900° D. 1620° 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.

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

13 A.A B.B C.C D.D A.540° B.720° C.900° D.1080° What is the sum of the interior angles of an octagon?

14 A.A B.B C.C D.D A.540° B.1440° C.1800° D.4140° What is the sum of the interior angles of a 25-gon ?

15 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. Answer: So, the measure of one interior angle in a stop sign is 135° ÷ 8 = 135

16 A.A B.B C.C D.D A.40° B.100° C.120° D.144° Find the measure of each interior angle of a regular decagon.

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


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