A segment that joins two nonconsecutive vertices.

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

Interior and Exterior Angles of Polygons

Polygons and Their Angles

8.1 – Find Angle Measures in Polygons

Geometry 6.1 Angles of Polygons

Angles of Polygons.

Objectives Classify polygons based on their sides and angles.

Angles of Polygons.

Problem: What is the degree measure of each interior angle and exterior angle in a regular 18-gon? 18-gon: polygon with 18 sides regular: all angles are.

 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 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)

Interior/Exterior Angles in Regular Polygons R.4.G.2 Solve problems using properties of polygons: sum of the measures of the interior angles of a polygon.

Polygons and Angles Lesson #3 Pg. 27. Key Vocabulary Polygon – A simple, closed figure formed by three or more line segments Equilateral – A polygon in.

Discovering Geometry Chapter 5 Test Review HGHS

Objectives Classify polygons based on their sides and angles.

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

7.3 Formulas Involving Polygons. Before We Begin.

Warm-Up Draw an example of a(n)…

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.

Polygons Advanced Geometry Polygons Lesson 1. Polygon a closed figure Examples NO HOLES NO CURVES SIDES CANNOT OVERLAP all sides are segments.

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

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.

3-5 Angles of a Polygon. A) Terms Polygons – each segment intersects exactly two other segments, one at each endpoint. Are the following figures a polygon?

ANGLE MEASURES OF POLYGONS. Angle Measures of Polygons In this presentation, you will learn: The Interior Angles of a Quadrilateral Theorem. The Interior.

Holt Geometry 6-1 Properties and Attributes of Polygons 6-1 Properties and Attributes of Polygons Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Given: Diagram: StatementsReasons Prove: m  9 = m  2 m  6 = m  9a // b b a t 9 Warm Up:

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.

Lesson 3-5 Angles of a Polygon (page 101) Essential Question How can you apply parallel lines (planes) to make deductions?

Chapter 6-1 Introduction to Polygons. A polygon is a plane figure formed by _______ __________. Each segment is a _______ of the polygon. The common endpoint.

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.

POLYGONS 10/17/2007 NAMING POLYGONS

6-1 Properties and Attributes of Polygons Warm Up Lesson Presentation

Objectives Classify polygons based on their sides and angles.

Determine the name of the polygon

Lesson 3-5 Polygons.

8.1 – Find Angle Measures in Polygons

Section 3-5 Angles of a Polygon.

8.1 Angles of Polygons What you’ll learn:

Bellwork How do you find a circumcenter of a triangle using tool?

Lesson 8-1 Angles of Polygons Lesson 3-4: Polygons.

Chapter 8: Quadrialterals

Angles of a Polygon Diagonal of a polygon – A segment that connects any two nonconsecutive vertices. The number of triangles formed by drawing diagonals.

Lesson 6 – 1 Angles of Polygons

Angles of Polygons.

8.1 – Find Angle Measures in Polygons

6-1 Properties and Attributes of Polygons Lesson Presentation

6.1 properties and attributes of Polygons

6.1 Vocabulary Side of a polygon Vertex of a polygon Diagonal

6.1 Notes: Angles of Polygons

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

Objectives Classify polygons based on their sides and angles.

6-1: Angles of Polygons yes no

8.1 Find Angle Measures in Polygons

6.1 The Polygon Angle-Sum Theorems

8-1: Find angle measures in polygons

a closed figure whose sides are straight line segments.

Lesson 3-4 Polygons.

The Polygon Angle-Sum Theorem

Section 2.5 Convex Polygons

3.3 Day 1 - Interior Angles of Polygons

Section 6-1 Angles of Polygons

Happy Thursday! Do Now: Recall that a complete rotation around a point is 360°. Find the angle measure represented by each letter (x, y, and z).

Polygons and Angles Sec 12 -1E pg

EQ: What are the properties of different quadrilaterals?

Lesson 3-4 Polygons.

Presentation transcript:

A segment that joins two nonconsecutive vertices. Drawing the diagonals from one vertex divides the polynomial into (n - 2) triangles, where n is the number of sides of the polygon. 2 180 2 180 360°

6 2 180 6 2 180 6 4 180 720° 720°

2 180° 1260° 2 7 180 9 2 9 nonagon

71° 112° 135° 360° 318° 360° 42° 318

Sum = (n - 2)180 Sum = (10 - 2)180 Sum = (8)180 Sum = 1440° Sum = (n - 2)180 1620 = (n - 2)180 9 = n - 2 11 = n 11-gon (hendecagon or undecagon) Sum = (n - 2)180 Sum = (5 - 2)180 Sum = (3)180 Sum = 540° m∠K + m∠L + m∠M + m∠N + m∠J = Sum x + x + 109° + 105° + 68° = 540° 2x + 282° = 540° 2x = 258° x = 129° m∠K = m∠L = 129°

360° 360° 89° 2x 85° 360° 3 174° 360° 3x = 186° 62°

2 180 15 2 180 2340° mInt∠ = (n - 2)180 _________ n 15 2340° 15 2340° 15 156° 156° 360 360° 15 360° 15 24° mExt∠ = 360 ____ n 24°

m∠1 + m∠2 + m∠3 + m∠4 + m∠5 = 360° 66° + 77° + 82° + 62° + x = 360° 287° + x = 360° x = 73° mInt∠ = (n - 2)180 _________ n (9 - 2)180 9 mInt∠ = 140° mExt∠ = 360° ____ n 9 mExt∠ = 40