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Date: Sec 8-1 Concept: Angle Measures in Polygons Objective: Given a polygon, determine the measures of angles as measured by a s.g.
Sum of the measures of the interior angles in a polygon Sum of interior angles = (n-2)180, Where n = number of sides
Example 1: Find the value of x S= (n-2)180 S=(5-2)180 S= = =84
Example 2: Find the value of x X S= (n-2)180 S=(8-2)180 S=(6)180 S=1080 X= 1080/8 X = 135
Example 3: The sum of the measures of the interior angles in a convex polygon is given. Classify the polygon by the number of sides. A B. 360
Example 4: Find the measure of each angle in a regular 11-gon (n-2)180 n (11-2) Each angle = 147.3
Example 5: The measure of each interior angle of a regular polygon is 165. How many sides does the polygon have? (n-2)180 = 165 n Cross mult. (n-2)180 = 165n 180n-360 = 165n -180n -360 = -15n = n
Sum of the exterior angles in a polygon is always 360 Example 6: What is the measure of each exterior angle in a regular hexagon? =360/6 =60
Example 7: Find the value of x
Example 8: The measure of each exterior angle of a regular polygon is 40. How many sides does the polygon have? 360/40 =9 sides
Wrap-up: 1. How do you find the sum of the interior angles in a polygon? 2. How do you find the sum of the exterior angles in a polygon? 3. Why do you need to know this?
Angles in Polygons. Sums of Interior Angles TriangleQuadrilateralPentagon Heptagon Octagon Hexagon = 2 triangles = 3 triangles = 4 triangles = 5 triangles=
Find the polygon… Click on the polygon. Sorry… Polygons are closed shapes. They cannot have openings.
Aim: How do we find angle measures in polygons? A polygon is a closed figure whose sides are line segments that intersect only at their endpoints. In a.
Sec. 3-5 The Polygon Angle-Sum Theorems Objectives: a) To classify Polygons b) To find the sums of the measures of the interior & exterior s of Polygons.
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Angle Measures in Polygons Geometry Mrs. Spitz Spring 2006.
The shapes below are examples of regular polygons. Look at the sides and angles of each shape. Octagon rectanglehexagon triangle The following shapes.
Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.
Area of Polygons and Circles Chapter Angle Measures in Polygons The sum of the measures of the interior angles of a polygon depends on the number.
3.5 The Polygon Angle-Sum Theorems Geometry Mr. Barnes.
Chapter 5: Properties of Polygons Objective: Discover relationships among the sides, angles, and diagonals of polygons Discover relationships among the.
Exploring. Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have.
£1 Million £500,000 £250,000 £125,000 £64,000 £32,000 £16,000 £8,000 £4,000 £2,000 £1,000 £500 £300 £200 £100 Welcome.
Unit 2 Polygons In The Plane. These figures are not polygonsThese figures are polygons Definition:A closed figure formed by a finite number of coplanar.
Sec 1-6 Concept: Polygons Objective: Given a figure, we will identify and name it if it is a polygon as measured by a scoring guide.
Angles in a straight line and around a point. Lesson Objectives To understand the sum of angles in a straight line To understand the sum of angles around.
Polygons Where has Polly gone? Polygon A closed figure formed by joining three or more segments in a plane at their endpoints, with each line segment.
Sec 6-3 to 6-5 Concept: Use Similar Polygons Objective: given 2 polygons, determine if they are similar and solve problems as measured by a s.g.
(For help, go to Lesson 1-6 and 3-4.) GEOMETRY LESSON 3-5 The Polygon Angle-Sum Theorems Find the measure of each angle of quadrilateral ABCD.
Section 6-3 Prove that Quadrilateral is a Parallelogram SPI 32 H: apply properties of quadrilaterals to solve a real-world problem Objectives: Determine.
Jeopardy Measuring Angles Triangles Hodgepodge Remember ? Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Properties.
Bake Sale Cara, Nick, and Tammy had 96 cookies (8 dozen) to sell at a bake sale. Tammy sold 32 cookies. Nick sold as many cookies as Tammy sold plus 5.
Main Idea/Vocabulary congruent polygon Identify congruent polygons.
© Boardworks Ltd of 69 KS3 Mathematics S1 Lines and Angles.
MA.912.G.3.4: Apply transformations (translations, reflections, rotations, dilations, and scale factors) to polygons to determine congruence, similarity,
Sec 1-5 Concept: Describe Angle Pair Relationships Objective: Given a pair of angles, use special angle relationships to find angle measures.
Angle calculations a Angles in a half turn = Angles in a full turn = b Opposite angles are equal c d e Angles.
§ 3.1 Angles Angles § 3.4 Adjacent Angles and Linear Pairs of Angles Adjacent Angles and Linear Pairs of AnglesAdjacent Angles and Linear Pairs of.
FeatureLesson Geometry Lesson Main 1. If AB = 3x + 11, BC = 2x + 19, and CD = 7x – 17, find x. 2. If m BAD = y and m ADC = 4y – 70, find y. 3. If m ABC.
Polygons by Amy Pihlainen. Polygons The word polygon means many angles A two dimensional object A closed figure.
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