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

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Presentation transcript:

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

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

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

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

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.

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

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

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

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

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

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.

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

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

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°.

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

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. 128.57° C. 120° D. 108° A B C D