CCSS G-CO 9: Prove theorems about lines and angles. G-CO 10: Prove theorems about triangles. G-CO 11: Prove theorems about parallelograms. Lesson Goals.

Slides:

Advertisements

Similar presentations

1.6 – Two-Dimensional Figures

Advertisements

Objectives Classify polygons based on their sides and angles.

POLYGONS 10/17/2007 NAMING POLYGONS

Geometry 6.1 Prop. & Attributes of Polygons

3.4 The Polygon Angle-Sum Theorems

3.4: The Polygon Angle-Sum Theorem

NAMING POLYGONS.

Objectives Classify polygons based on their sides and angles.

Geometry Section 6.1 Polygons 4/15/2017.

How are polygons classified?

Angles of Polygons.

3.4: THE POLYGON ANGLE-SUM THEOREM OBJECTIVE: STUDENTS WILL BE ABLE TO… TO CLASSIFY POLYGONS, AND TO FIND THE SUMS OF INTERIOR AND EXTERIOR ANGLES OF POLYGONS.

Lesson 1-6 Polygons Lesson 3-4: Polygons.

2.5 – Classify Polygons. Polygon: 2. No sides overlap or cross 3. No curved sides 1. 3 or more sides 4. Closed figure.

10.1 Naming Polygons.

Name the polygons with the following number of sides:

Chapter 3 Lesson 4 Objective: Objective: To classify polygons.

The Polygon Angle- Sum Theorems

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.

Friday, Feb. 22, 2013 Agenda: TISK & No MM HW Check Lesson 10-1: Polygons Homework: 10-1 problems in packet A B C

6.1 Polygons 6.2 Properties of Parallelograms Essential Question: How would you describe a polygon?

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.

Objectives Define polygon, concave / convex polygon, and regular polygon Find the sum of the measures of interior angles of a polygon Find the sum of the.

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.

 To Classify polygons  To find the sums of the measures of the interior and exterior angles of polygons.

Section 1.6. In geometry, a figure that lies in a plane is called a plane figure. A polygon is a closed plane figure with the following properties. Identifying.

 A Polygon is a closed plane figure with at least three sides. The sides intersect only at their endpoints, and no adjacent sides are collinear. A. B.

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.

Name the polygons with the following number of sides: Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon.

CCSS G-CO 9: Prove theorems about lines and angles. G-CO 10: Prove theorems about triangles. G-CO 11: Prove theorems about parallelograms. Lesson Goals.

+ Polygon Angle Sum Theorem (3.4) Objective: To classify polygons, and to find the sums of interior and exterior angles of polygons.

1-6 Classify Polygons.

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

Geometry Honors T HE P OLYGON A NGLE -S UM T HEOREM.

Chapter 1.6 Notes: Classify Polygons

1 Objectives Define polygon, concave / convex polygon, and regular polygon Find the sum of the measures of interior angles of a polygon Find the sum of.

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 Draw a large aerial view of a group of building into your notebook. Example:

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.

Chapter 6 Quadrilaterals Sec 6.1 Polygons. Polygon 1.Is a plane figure that is formed by 3 or more segments. No two sides with common endpoint are collinear.

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.

1 Polygons. 2 These figures are not polygonsThese figures are polygons Definition:A closed figure formed by line segments so that each segment intersects.

Quadrilaterals Sec 6.1 GOALS: To identify, name, & describe quadrilaterals To find missing measures in quadrilaterals.

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 Angle-Sum. A polygon is a closed plane figure with at least three sides. The sides intersect only at their endpoints and no adjacent sides are.

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.

3-4: The polygon Angle-Sum Theorems

Chapter 6: Quadrilaterals Section 6.1: Polygons. polygon – a plane figure that meets the following conditions. 1)It is formed by three or more segments.

Other polygons November 12, Objectives Content Objectives Learn about properties of polygons, beyond triangles and quadrilaterals. Language Objectives.

Unit 1C3 Day 1 Polygons. Do Now  The symbols here are used in meteorology to represent weather elements.  Which of them pass both tests below?  Test.

POLYGONS 10/17/2007 NAMING POLYGONS

Objectives Classify polygons based on their sides and angles.

Chapter 6 Section 6.1 Polygons.

Section Classify Polygons Objective: SWBAT classify polygons

Angles of Polygons.

Classifying Polygons Section 8.1.

Lesson 3-4 Polygons Lesson 3-4: Polygons.

3.4 The Polygon Angle-Sum Theorems

Chapter 6 Section 6.1 Polygons.

The Polygon Angle-Sum Theorems

Chapter 1 – Essentials of Geometry

Section 2.5 Convex Polygons

Polygons and Angles Sec 12 -1E pg

Section 6.1 Polygons.

Presentation transcript:

CCSS G-CO 9: Prove theorems about lines and angles. G-CO 10: Prove theorems about triangles. G-CO 11: Prove theorems about parallelograms. Lesson Goals  Identify, name, and describe polygons. ESLRs: Becoming Effective Communicators, Competent Learners and Complex Thinkers

a 2-dimensional plane figure Formed by three or more line segments called sides Adjacent sides are non-collinear Each side intersects exactly 2 other sides at their endpoints

polygon MNOPQR polygons are named using the vertices in consecutive order

yes no Which of the shapes are polygons?

triangle quadrilateral pentagon hexagon heptagon octagon

nonagon decagon dodecagon n-gon

Convex No line that contains a side passes through the interior of the polygon interior

Convex All vertices “point” outward.

Convex No line that contains a side passes through the interior of the polygon Concave A polygon that is not convex interior

Concave At least one vertex “points” inward.

Not a polygon Some sides are not line segments Is the figure a polygon? If it is, state whether it is convex or concave.

Classify by number of sides. octagon

Convex or Concave? concave

Classify by number of sides. dodecagon

Convex or Concave? convex

Classify by number of sides. heptagon

Convex or Concave? concave

Equilateral: all sides congruent Equiangular: all angles congruent Regular: equilateral and equiangular

State whether the polygon is best described as equilateral, Equiangular, regular, or none of these? regular equilateral equilangular

The sum of the measures of the interior angles of a convex polygon is where n is the number of sides

Find the sum of the measures of the interior angles of a convex decagon.

Find x.

Find the value of x.

Find the measure of each interior angle. Is the quadrilateral regular? D B C A Not regular

A polygon is __________________. A polygon is classified by _________, _________, or ________. A regular polygon has _____________. The Polygon Interior Angle Sum Theorem says ____________.

p. 325: 1, 2, 4 – 9, , 27 – 32, 41 – 45 o p. 665: 3, 4, 7, 13, 15, 20, 49