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

Slides:

Advertisements

Similar presentations

Unit 2 Polygons In The Plane.

Advertisements

Objectives Classify polygons based on their sides and angles.

Interior and Exterior Angles of Polygons

POLYGONS 10/17/2007 NAMING POLYGONS

Polygons and Their Angles

Geometry Day 41 Polygons.

Geometry 6.1 Prop. & Attributes of Polygons

8.1 – Find Angle Measures in Polygons

3.6 Angles in Polygons Objectives: Warm-Up:

Angles of Polygons.

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

Happy Wednesday!!.

NAMING 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.

Polygons Keystone Geometry

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.

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

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

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:

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.

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.

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.

7.3 Formulas Involving Polygons. Before We Begin.

 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.

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.

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

1-6 Classify Polygons.

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

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.

Unit 8 Polygons and Quadrilaterals Polygons.

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?

Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex,

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.

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.

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.

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.

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.

POLYGONS 10/17/2007 NAMING POLYGONS

8.1 – Find Angle Measures in Polygons

Polygons – Measurements of Angles

Section 3-5 Angles of a Polygon.

Polygons – Measurements of Angles

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Do Now…… 1. A triangle with a 90° angle has sides that are 3 cm, 4 cm,

Angles of Polygons.

8.1 – Find Angle Measures in Polygons

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

ANGLES OF POLYGONS.

How many diagonals in a… 1. Triangle _______ 2. Heptagon _______

Lesson 3-4 Polygons.

Section 2.5 Convex Polygons

EQ: What are the properties of different quadrilaterals?

Lesson 3-4 Polygons.

Presentation transcript:

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

Why is this not a polygon? This shape is not formed by a series of segments.

Convex Polygon such that no line connecting two sides falls in the exterior of the polygon.

Why is this nonconvex? Nonconvex A line can be drawn outside the shape. AKA: Concave

Decagon Triangle Quadrilateral Pentagon Octagon 9-gon (Nonagon) n-gon # of Sides n Name of Polygon Hexagon 7-gon (Heptagon)

Diagonal A segment that connects two nonconsecutive vertices of a polygon. Connecting two consecutive vertices would create a side of the polygon.

Quadrilateral A quadrilateral has two diagonals.

Pentagon A pentagon has five diagonals.

Number of Diagonals in a Polygon

180° Quadrilateral Interior Angles Examples: Sum of Interior Angles: 360°

180° Pentagon Interior Angles Examples: Sum of Interior Angles: 540°

Sum of Interior Angles of a Polygon Based on the number of triangles that can be created within the polygon. Formula

115° 100° 115° 110° 100° 65° 80° 65° 70° 80° Sum of Exterior Angles Exterior Angles Example 360°

Sum of Exterior Angles of a Polygon The sum of the measures of the exterior angles of any convex polygon is 360°.

Regular Polygon – A polygon with that is both equilateral and equiangular. 60°

Irregular Polygon – A polygon with unequal angle measurements or sides of unequal lengths. 120° 60° 120°

Example 1: A polygon has four sides. What is the name of the polygon? What is the sum of the interior angles? What is the sum of the exterior angles? How many diagonals can be drawn? Quadrilateral 360° 2

Example 2: The sum of the interior angles of this polygon is How many sides does this polygon have? What is the name of the polygon? How many diagonals can be drawn? 10 Decagon 35

Example 3: Fourteen diagonals can be drawn in this polygon. How many sides does this polygon have? What is the name of the polygon? What is the sum of the interior angles? What is the sum of the exterior angles? 7 Heptagon, 7-gon

Example 4: Each exterior angle of this regular polygon is 60°. What is the sum of the exterior angles? How many sides does this polygon have? How many diagonals can be drawn?

NAME SUM OF INTERIOR ANGLES SUM OF EXTERIOR ANGLES MEASURE OF INT. ANGLE (IF REGULAR) NUMBER OF SIDES n (n-2) Triangle Quadrilateral Pentagon Octagon Nonagon Decagon n-gon NUMBER OF DIAGONALS Hexagon Heptagon