Warm Up Determine the measure of all the missing angles and state the rule you used to find it.. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons.

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Polygons by Amy Pihlainen

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Presentation transcript:

Warm Up Determine the measure of all the missing angles and state the rule you used to find it.. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons ∠ EGB = ∠ BGF = ∠ AGF = ∠ EZD = ∠ DZF = ∠ FZC = ∠ CZE = G

Terminology What is a Polygon? What is a Quadrilateral? Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons A polygon is a closed figure that consists of line segments that only intersect at their endpoints. A polygon with four sides. **

Is it a Polygon? Which of the following are polygons? Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons Which of the following were quadrilaterals?

Let’s try an activity! Using a protractor, determine: the Sum of the Interior Angles. the Sum of the Exterior Angles. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons ShapeSum of Interior AnglesSum of Exterior Angles Quadrilateral Pentagon Hexagon Octagon

The Sum of the Interior Angles of a Polygon The sum of the interior angles of a polygon is equal to the number of triangles you can fit inside it multiplied by ! Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons

The Sum of the Interior Angles of a Polygon We can make an equation for this rule! S = (n-2) x where S = sum of interior angles and n = number of sides! Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons

The Sum of the Exterior Angles of a Polygon This is an easy rule to remember! The Sum of the Exterior Angles of a Polygon is always ! Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons

Homework  Page 97 # 2, 4, 7  Page 101# Learning Goals: I can determine the value of a missing interior angle inside a polygon I can determine the value of a missing exterior angle outside a polygon. I can determine if a given shape is a polygon. Unit 8 - Lesson 4 Interior and Exterior Angles of Polygons