Definition: Rectangle A rectangle is a quadrilateral with four right angles.
lesson 2.4.notebook September 15, 2016€¦ · lesson 2.4.notebook 7 September 15, 2016 Draw a...
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Transcript of lesson 2.4.notebook September 15, 2016€¦ · lesson 2.4.notebook 7 September 15, 2016 Draw a...
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Draw the polygons listed in the table below. Create triangles to help you determine the sum of the measures of their interior angles. Record your results in a table like the one below.
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Make a conjecture about the relationship between the sum of the measures of the interior angles of a polygon, S, and the number of sides of the polygon, n.
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Use your conjecture to predict the sum of the measures of the interior angles of a dodecagon (12 sides).
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Draw a rectangle. Extend each side of the rectangle so that the rectangle has one exterior angle for each interior angle.
Determine the sum of the measures of the exterior angles.
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What do you notice about the sum of the measures of each exterior angle of your rectangle and its adjacent interior angle?
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Would this relationship also hold for the exterior and interior angles of the irregular quadrilateral shown? Explain.
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Make a conjecture about the sum of the measures of the exterior angles of any quadrilateral.
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Now, draw a pentagon. Extend each side of the pentagon so that the pentagon has one exterior angle for each interior angle. Based on your diagram, revise your conjecture to include pentagons.
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New conjecture.
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Convex Polygon:
A polygon in which each interior angle measures less than 180o
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The sum of the measures of the interior angles of an unknown polygon is 3060 . Determine the number of sides that the polygon has.
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Workbook Questions
Page 51
Questions 1 11 omit 5 and 8
