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Polygons and Polyhedra Homework Help Resources


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In this activity, students will investigate the formula for the area of regular polygons given the length of one side. Students will be asked inquiry questions to assist them in deriving the formula for a regular polygon with n= 3, 4, and 5 sides. They will then use the patterns they discovered to find the formula for the area of a regular polygon of n sides.
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Students measure interior angles in convex polygons and use the Calculate tool to find the sum of the angle measures. They keep a record of the sums and make and test a conjecture about the sum of the angle measures in an n-sided polygon. Students also find the measure of one interior angle of a regular polygon. Finally, they measure exterior angles in convex polygons, find their sum, and write a two-column proof for the sum of the exterior angles in a convex polygon.
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In this activity, students will explore the area of a regular polygon in terms of the apothem and the perimeter. Students will derive the formula for a regular pentagon and regular hexagon. Then, students will see how the formula relates to the formula for the area of triangles. Students will then be asked to apply what they have learned about the area of a regular polygon.
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In this activity, students will explore the area of a regular polygon in terms of the apothem and the perimeter. Students will derive the formula for a regular pentagon and regular hexagon. Then, students will see how the formula relates to the formula for the area of triangles. Students will then be asked to apply what they have learned about the area of a regular polygon.
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In this activity, students will investigate the formula for the area of regular polygons given the length of one side. Students will be asked inquiry questions to assist them in deriving the formula for a regular polygon with n= 3, 4, and 5 sides. They will then use the patterns they discovered to find the formula for the area of a regular polygon of n sides.
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The circumcircle of a polygon is defined: the circle that passes through every vertex.
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A biography of Euclid. A short description of his life and contributions to the study of geometry. Links to other resources.
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This page gives two methods for finding the area of a kite: a geometry formula and a trigonometric formula. Numerous connected pages offer a wide variety of information on all types of polygons.
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A helpful scientific calculator that runs in your web browser window.
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A biography of Pythagoras of Samos. A short description of his life and contributions to the study of geometry, including Pythagoras' Theorem. Links to other resources.
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