Warm Up: Investigating the Properties of Quadrilaterals Make a conjecture about the sum of the interior angles of quadrilaterals. You may use any material/equipment.

Slides:

Advertisements

Similar presentations

S ECTION 1-4 P OLYGONS. A polygon is a closed figure in a plane, formed by connecting segments endpoint to endpoint with each segment intersecting exactly.

Advertisements

Objectives Classify polygons based on their sides and angles.

3.4 The Polygon Angle-Sum Theorems

3.4: The Polygon Angle-Sum Theorem

Chapter 6 Polygons. A polygon is a closed plane figure formed by three or more segments that intersect only at their endpoints. PolygonsNot Polygons.

Objectives Classify polygons based on their sides and angles.

Lesson 1.6 Classify Polygons. Objective Classify Polygons.

3-5 The Polygon Angle-Sum Theorems

Essential Question: What happened to Chapter 9? Answer: We’ll get back to it.

 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 WHAT IS POLYGON? Formed by three or more segments (sides). Each side intersects exactly two other sides, one at each endpoint. Has vertex/vertices.

GOAL 1 DESCRIBING POLYGONS EXAMPLE Polygons VOCABULARY polygon sides vertex convex nonconvex (concave) equilateral equiangular regular diagonal.

Chapter properties of polygons. Objectives  Classify polygons based on their sides and angles.  Find and use the measures of interior and exterior.

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.

Objectives Classify polygons based on their sides and angles.

10.1 Naming Polygons.

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

1-6 Classify Polygons Warm Up Lesson Presentation Lesson Quiz

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

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?

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.

Polygons A Polygon is a closed plane figure formed by 3 or more segments Each segment intersects exactly 2 other segments only at their endpoints. No.

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

8.1 Classifying Polygons. Polygon Review  Characteristics of a Polygon All sides are lines Closed figure No side intersects more than 1 other side at.

6.1 Polygons Day 1 What is polygon?  Formed by three or more segments (sides).  Each side intersects exactly two other sides, one at each endpoint.

Warm-Up Draw an example of a(n)…

Classifying polygons Chapter 1.

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.

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

Warm Up Week 2. Re 1Give two names for the polygon: dodecagon concave.

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

Warm Up 1. A ? is a three-sided polygon.

Polygons Geometry.

Chapter 1.6 Notes: Classify Polygons

Chapter 1-6 (Classify Polygons)  What is a polygon?  A closed plane figure formed by 3 or more line segments, with no two sides being collinear.

Geometry Section 1.6 Classifying Polygons. Terms Polygon-closed plane figure with the following properties Formed by 3 or more line segments called sides.

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.

§10.1 Polygons  Definitions:  Polygon  A plane figure that…  Is formed by _________________________ called sides and… ..each side intersects ___________.

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

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.

Geometry Section 6.1 Polygons. The word polygon means many sides. In simple terms, a polygon is a many-sided closed figure.

Warm Up 1. A ? is a three-sided polygon. 2. A ? is a four-sided polygon. Evaluate each expression for n = (n – 4) (n – 3) 90 Solve for a. 5.

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?

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.

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

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

5.1 Angles of Polygons. Sum of interior angles of an n-gon: (n-2)180 degrees Each interior angle of a regular n-gon: (n-2)180/n degrees Sum of exterior.

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.

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.

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.

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.

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

Objectives Classify polygons based on their sides and angles.

Objectives Classify polygons based on their sides and angles.

ANSWER 1. Draw an acute angle and shade the interior.

3-5 Angles of a Polygon.

6.1 properties and attributes of Polygons

Section 6.1 Polygons OBJECTIVES:

A closed plane figure with at least 3 sides.

8.1 Find Angle Measures in Polygons

Introduction to Polygons

Chapter 6 Quadrilaterals.

Presentation transcript:

Warm Up: Investigating the Properties of Quadrilaterals Make a conjecture about the sum of the interior angles of quadrilaterals. You may use any material/equipment to help test your conjecture. Be prepared to justify your conclusion with the data you collect. You may choose to work as a group or by yourself.

Interior Angles of a Quadrilateral The sum of the measures of the interior angles of a quadrilateral is m  1 + m  2 + m  3 + m  4 =

Chapter 6.1: Polygons Students will identify regular and nonregular polygons. Students will describe characteristics of a quadrilateral.

What’s a Polygon? A plane figure that meets the following conditions… 1.It is formed by three or more segments called sides, such that no two sides with a common endpoint are collinear. 2.Each side intersects exactly two other sides, one at each endpoint.

More Vocabulary Vertex (vertices): each end point of a side of a polygon Name vertices of a polygon consecutively. State whether each figure is a polygon. If not, explain why. A B C D E F

Convex polygon: a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. Every internal angle is less than or equal to 180 o. Concave or Nonconvex polygon: a polygon that is not convex. Always has an interior angle with a measure that is greater than 180 o. Now draw your own example of a concave and convex polygon.

Concave Convex

Equilateral: a polygon with all sides congruent Equiangular: a polygon with all of its interior angles congruent Regular: a polygon that is equilateral and equiangular Diagonal: a segment in a polygon that joins two nonconsecutive vertices.

Cool Down: Find the missing values