POLYGONS 10/17/2007 NAMING POLYGONS

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

Interior and Exterior Angles of Polygons

Geometry 6.1 Prop. & Attributes of Polygons

8.1 – Find Angle Measures in Polygons

3.4: The Polygon Angle-Sum Theorem

Angles of Polygons.

Lesson 1-6 Polygons Lesson 1-6: Polygons.

NAMING POLYGONS.

Objectives Classify polygons based on their sides and angles.

How are polygons classified?

Angles of Polygons.

Designed by Dave Meyer. All rights reserved Tutorial 5a.

 DEFINITION: closed plane figure formed by 3 or more line segments such that each segment intersects exactly 2 other segments only at endpoints These.

6-1 The Polygon Angle-Sum Theorems

Math 1 March 16 th What you need today in class: 1.Pick up a calculator 2.Turn in Homework – page 13 WARM-UP: You DO NOT have to copy the problem, but.

Math 1 March 15 th WARM-UP: QUIZ TODAY!! In a triangle… 1.The three altitudes intersect at the ____________. 2.The three angle bisectors intersect at the.

Math 1 March 14 th WARM-UP: 1. TW = 24TS = 10 RU = 12 S is the centroidFind the measures of these segments: a) TU b) SV c) TV d) RS e) SU.

…with a little review C. N. Colon Geometry. Proving Triangles Congruent by (AAS, HL)

Chapter 8.1 Notes: Find Angle Measures in Polygons Goal: You will find interior and exterior angle measures in polygons.

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

10.1 Naming Polygons.

Name the polygons with the following number of sides:

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.

Polygons Section 1-6 polygon – a many-sided figure convex polygon – a polygon such that no line containing a side of the polygon contains a point in.

Chapter 8.1 Notes: Find Angle Measures in Polygons Goal: You will find angle measures in polygons.

Section 3-5 Angles of a Polygon. many two endpoint collinear Yes No angles.

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.

Polygon – Shape with many angles; each segment (side) must intersect exactly 2 other segments.

7.3 Formulas Involving Polygons. Before We Begin.

Classify polygons based on their sides and angles. Objectives 6.1: Properties of Polygons.

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

Warm-Up Draw an example of a(n)…

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.

Math 1 March 13 th WARM-UP: 1.Which point of concurrency would be equidistant from each road on the map? 2. TQ = 5TS = 12 RU = 6 Find the measures of these.

8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.

Convex vs. Concave Polygons Interior Angles of Polygons Exterior Angles of Polygons Polygons.

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

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.

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.

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.

ANGLES OF POLYGONS. Polygons  Definition: A polygon is a closed plane figure with 3 or more sides. (show examples)  Diagonal  Segment that connects.

Informal Geometry 10.2 Diagonals and Angle Measure.

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.

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.

# of sides # of triangles Sum of measures of interior angles 31 1(180)= (180)= (180)= (180)=720 n n-2(n-2) 180.

8.1 Find Angle Measures in Polygons Hubarth Geometry.

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.

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.

POLYGONS 10/17/2007 NAMING POLYGONS

Lesson 3-5 Polygons.

Section 3-5 Angles of a Polygon.

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Angles of Polygons.

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

Lesson 3-4 Polygons.

Section 2.5 Convex Polygons

Polygons and Angles Sec 12 -1E pg

Lesson 3-4 Polygons.

Presentation transcript:

POLYGONS 10/17/2007 NAMING POLYGONS EQ: How do I find the measure of an interior & exterior angle of a polygon?

What does the word “polygon” mean? 10/17/2007 POLYGONS Let's Discuss What does the word “polygon” mean? What is the smallest number of sides a polygon can have? What is the largest number of sides a polygon can have? EQ: How do I find the measure of an interior & exterior angle of a polygon?

Triangle Octagon Quadrilateral Nonagon Pentagon Decagon Dodecagon POLYGONS 10/17/2007 Triangle Octagon Quadrilateral Nonagon Pentagon Decagon Dodecagon Hexagon n-gon Heptagon EQ: How do I find the measure of an interior & exterior angle of a polygon?

Important Terms A VERTEX is the point of intersection of two sides F A 10/17/2007 POLYGONS Important Terms A VERTEX is the point of intersection of two sides CONSECUTIVE VERTICES are two endpoints of any side. F A B C D E A segment whose endpoints are two nonconsecutive vertices is called a DIAGONAL. Sides that share a vertex are called CONSECUTIVE SIDES. EQ: How do I find the measure of an interior & exterior angle of a polygon?

More Important Terms EQUILATERAL - All sides are congruent 10/17/2007 POLYGONS More Important Terms EQUILATERAL - All sides are congruent EQUIANGULAR - All angles are congruent REGULAR - All sides and angles are congruent EQ: How do I find the measure of an interior & exterior angle of a polygon?

Diagonals & Angle Measures 10/17/2007 POLYGONS 10/17/2007 Diagonals & Angle Measures EQ: How do I find the measure of an interior & exterior angle of a polygon?

What is the sum of the measures of the interior angles of a triangle? REVIEW: POLYGONS 10/17/2007 What is the sum of the measures of the interior angles of a triangle? 180° 180° 180° What is the sum of the measures of the interior angles of any quadrilateral? 360° EQ: How do I find the measure of an interior & exterior angle of a polygon?

POLYGONS 10/17/2007 If a convex polygon has n sides, then the sum of the measure of the interior angles is (n-2)(180°) EQ: How do I find the measure of an interior & exterior angle of a polygon?

Ex. 1 Use the regular pentagon to answer the questions. 10/17/2007 POLYGONS Ex. 1 Use the regular pentagon to answer the questions. Find the sum of the measures of the interior angles. Find the measure of ONE interior angle 540° 108° EQ: How do I find the measure of an interior & exterior angle of a polygon?

Two more important terms POLYGONS 10/17/2007 Two more important terms Interior Angles Exterior Angles EQ: How do I find the measure of an interior & exterior angle of a polygon?

10/17/2007 POLYGONS 1 2 3 4 5 If any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. EQ: How do I find the measure of an interior & exterior angle of a polygon?

10/17/2007 POLYGONS If any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 3 2 EQ: How do I find the measure of an interior & exterior angle of a polygon?

Ex. 2 Find the measure of ONE exterior angle of a regular hexagon. POLYGONS 10/17/2007 Ex. 2 Find the measure of ONE exterior angle of a regular hexagon. 60° EQ: How do I find the measure of an interior & exterior angle of a polygon?

Ex. 3 Find the measure of ONE exterior angle of a regular heptagon. POLYGONS 10/17/2007 Ex. 3 Find the measure of ONE exterior angle of a regular heptagon. 51.4° EQ: How do I find the measure of an interior & exterior angle of a polygon?

Ex. 4 The sum of the measures of five interior angles of a hexagon is 535. What is the measure of the sixth angle? POLYGONS 10/17/2007 185° EQ: How do I find the measure of an interior & exterior angle of a polygon?

Ex. 5 The measure of the exterior angle of a quadrilateral are x, 3x, 5x, and 3x. Find the measure of each angle. POLYGONS 10/17/2007 30°, 90°, 150°, and 30° EQ: How do I find the measure of an interior & exterior angle of a polygon?

Ex. 6 The sum of the interior angles of a polygon is 720 Ex. 6 The sum of the interior angles of a polygon is 720. Find the number of sides. POLYGONS 10/17/2007 n = 6 EQ: How do I find the measure of an interior & exterior angle of a polygon?

POLYGONS 10/17/2007 Homework: Page 300 # 1-21 EQ: How do I find the measure of an interior & exterior angle of a polygon?