Objectives In this chapter you will:  Find measures of interior and exterior angles of polygons  Solve problems involving angle measures of polygons.

Slides:



Advertisements
Similar presentations
Unit 2 Polygons In The Plane.
Advertisements

3.4 The Polygon Angle-Sum Theorems
Chapter 24 Polygons.
Unit 3 Comp 4 Interior/Exterior Angles of a Polygon
Lesson 1-6 Polygons Lesson 1-6: Polygons.
Objectives Classify polygons based on their sides and angles.
How are polygons classified?
Angles of Polygons.
Polygons Keystone Geometry
6.1 Polygons Textbook page 303. Definitions A polygon is a plane figure that is formed by three or more segments called sides. (a closed, sided figure)
Number of sidesName of polygon 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon A polygon is a shape enclosed by straight.
8.1.1 Find Angle Measures in Quadrilaterals Chapter 8: Quadrilaterals.
Classifying Polygons.
Lesson 1-6 Polygons Lesson 3-4: Polygons.
Friday, Feb. 22, 2013 Agenda: TISK & No MM HW Check Lesson 10-1: Polygons Homework: 10-1 problems in packet A B C
Lesson (1-6): Polygons_ p: 45 A polygon is a closed figure whose sides are all segments that intersect only at their endpoints examples polygonnot a polygon:
Sum of Interior and Exterior Angles in Polygons
1.6 Classify Polygons. Identifying Polygons Formed by three or more line segments called sides. It is not open. The sides do not cross. No curves. POLYGONS.
Section 3-5: The Polygon Angle-Sum Theorem. Objectives To classify polygons. To find the sums of the measures of the interior and exterior angles of a.
Section 3.5 Polygons A polygon is:  A closed plane figure made up of several line segments they are joined together.  The sides to not cross each other.
The sides that have a common endpoint are noncollinear
Polygons 6-1. Definition of Polygon A polygon is a closed figure formed by an finite number of coplanar segments such that  the sides that have a common.
Section 3-5 Angles of a Polygon. Polygon Means: “many-angled” A polygon is a closed figure formed by a finite number of coplanar segments a.Each side.
+ Polygon Angle Sum Theorem (3.4) Objective: To classify polygons, and to find the sums of interior and exterior angles of polygons.
8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.
1-6 Classify Polygons.
Polygons Geometry.
Chapter 1.6 Notes: Classify Polygons
6-1B Exploring Polygons How are polygons classified? How are polygons classified? How do you find the sum of the measures of the interior angles of a convex.
Unit 8 Polygons and Quadrilaterals Polygons.
Objectives To identify and name polygons To find the sum of the measures of interior and exterior angles of convex and regular polygons To solve problems.
Warm Up  A complement of an angle is five times as large as the angle. Find the angles.  The measure of one of two complementary angles is six less than.
Essential Question – How can I find angle measures in polygons without using a protractor?
1.4 Polygons. Polygon Definition: A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint. Each segment intersects.
2.5 How Can See It? Pg. 20 Classify Polygons. 2.5 – How Can I See It?______________ Classify Polygons In this section you will discover the names of the.
Section 1.8. Polygon – A closed figure that 1. the sides have common endpoints that are not collinear 2. Each side intersects exactly two other side at.
Lesson 3-4: Polygons 1 Polygons. Lesson 3-4: Polygons 2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by.
1 Polygons. 2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by line segments so that each segment intersects.
POLYGONS. Examples of Polygons: NOT Examples of Polygons: Definition of a Polygon A polygon is a closed figure formed by a finite number of coplanar segments.
Polygon Closed plane figure with at least three sides The sides intersect only at their endpoints No adjacent sides are collinear To name a polygon –Start.
Section 6-1 Polygons. Polygon Formed by three or more segments called sides. No two sides with a common endpoint are collinear. Each side intersects exactly.
Lesson 3-4: Polygons 1 Polygons. Lesson 3-4: Polygons 2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by.
3-4: The polygon Angle-Sum Theorems
Lesson 3-4 Polygons. A polygon is a closed figure No, not a polygon Yes, a polygon.
The Polygon Angle-Sum Theorem. Check Skills You’ll Need Find the measure of each angle of quadrilateral ABCD
Other polygons November 12, Objectives Content Objectives Learn about properties of polygons, beyond triangles and quadrilaterals. Language Objectives.
Do Now  .
Lesson 3-5 Polygons.
10.1 Polygons Geometry.
Sum of Interior and Exterior Angles in Polygons
Section 3-5 Angles of a Polygon.
6-1 Angles of Polygons The student will be able to:
Section Classify Polygons Objective: SWBAT classify polygons
Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10
1.6 Classify Polygons.
Y8 Polygon Workbook.
Lesson 12.3 Angles and Polygons
Angles of Polygons.
G.10 Polygons.
Lesson 3-4 Polygons Lesson 3-4: Polygons.
ANGLES OF POLYGONS.
3.4 The Polygon Angle-Sum Theorems
The Polygon Angle-Sum Theorems
Math Humor Q: What type of figure is like a lost parrot?
Chapter 1 – Essentials of Geometry
Lesson 3-4 Polygons.
Section 2.5 Convex Polygons
Section 6.1 Polygons.
Lesson 3-4 Polygons.
Presentation transcript:

Objectives In this chapter you will:  Find measures of interior and exterior angles of polygons  Solve problems involving angle measures of polygons  Identify and name polygons

Prerequisite Skills Needed 1. You’ll need to know how to solve equations 2. How to Identify a Polygon 4. The Definitions of a Concave and Convex Polygon 5. The Different Types of Polygons 6. How To Name And Classify Each Polygon

A polygon is a closed figure formed by a finite number of coplanar segments such that… 1.The sides that have a common endpoint are noncollinear,and 2.Each side intersects exactly two other sides, but only at their endpoints A regular polygon is a convex polygon with all sides congruent and all angles congruent

A convex polygon is a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is nonconvex or concave.

Interior Angles Interior angles is an angle inside a shape. Interior Angle Sum Theorem: If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S= 180(n-2)

Exterior Angles The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. The Exterior Angles of a Polygon add up to 360°

Different Types of Polygons Numbers of sidesName of polygon 3Triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon 12dodecagon

Sources  Factmonster.com  Jeopardylab.com  Google.com  Wikipedia.com  Mathisfun.com