TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

Geometry 6.1 Prop. & Attributes of Polygons

3.4 The Polygon Angle-Sum Theorems

3.4: The Polygon Angle-Sum Theorem

Objectives Classify polygons based on their sides and angles.

Geometry Section 6.1 Polygons 4/15/2017.

Warm Up 1. How many sides do the following figures have? b) a)

How are polygons classified?

Lesson 1.6 Classify Polygons. Objective Classify Polygons.

Plane Geometry Unit 7 - Quadrilaterals Section 1.6 – Classify Polygons Day 1.

EXAMPLE 1 Identify polygons SOLUTION Tell whether the figure is a polygon and whether it is convex or concave. Some segments intersect more than two segments,

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.

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

Name the polygons with the following number of sides:

1-6 Classify Polygons Warm Up Lesson Presentation Lesson Quiz

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

Chapter 3 Lesson 4 Objective: Objective: To classify 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.

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.

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

1.6 Classify Polygons. A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. A polygon that.

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.

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

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

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons

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

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.

Classify Polygons Identifying polygons A closed plane figure Formed by three or more line segments called ‘sides’ Each side intersects exactly two sides,

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

Section 8 – 1 Find Angle Measures in Polygons. Theorem 8.1 Polygon Interior Angles Theorem: The sum of the measures of the angles of a convex n-gon is.

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

Notes 1.6 Polygons polygons are... where each side intersects exactly two other sides, one at each endpoint. -- formed by three or more line segments (called.

Warm Up Announcements:  No Quiz this week  Text next week.

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.

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.

Section 6-1 Properties of Polygons. Classifying Polygons Polygon: Closed plane figure with at least three sides that are segments intersecting only at.

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.

LESSON 7.1 OBJ: The learner will use interior and exterior angles in a polygon. Do Now: Name the polygons with the given number of sides: 3, 4, 5, 6, 7,

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.

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

Objectives Classify polygons based on their sides and angles.

Polygons and Classifying Polygons

Objectives Classify polygons based on their sides and angles.

Section Classify Polygons Objective: SWBAT classify polygons

Chapter 8: Quadrialterals

EXAMPLE 1 Identify polygons

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

Rigor Classify polygons and find the measures of interior and exterior angles of polygons. Relevance Shapes, they are everywhere you want to be (and some.

Classifying Polygons Section 8.1.

3.4 The Polygon Angle-Sum Theorems

The Polygon Angle-Sum Theorems

A closed plane figure with at least 3 sides.

Polygon 1.6 Power Point Guide (Poly – means “many”) Examples:

Polygons Notes 6.1 polygons are... closed plane figures --

Section 6.1 Polygons.

1.6 Classify Polygons.

Presentation transcript:

TODAY IN GEOMETRY… Learning Goal: 1.6 Classify Polygons Independent Practice – NO A.T.

POLYGON: a closed plane figure formed by three or more line segments. sides Polygons are named by listing vertices in consecutive order: ABCDE BCDEA CDEAB DEABC EABCD A B E C vertex D

CONVEX POLYGON: polygon with all interior angles less than 180°. No lines that contain the sides goes through the interior of the polygon.

CONCAVE POLYGON: polygon with one or more interior angles greater than 180°. One or more lines that contain the sides, goes through the interior of the polygon. interior

1. 2. Not a polygon Convex polygon 3. 4. Concave polygon Not a polygon PRACTICE: Tell whether the figure is a polygon and whether it is concave and convex. 1. 2. Not a polygon Convex polygon 3. 4. Concave polygon Not a polygon

NAMING POLYGONS: polygons are named by the number of sides they have. Type of Polygon 3 Triangle 8 Octagon 4 Quadrilateral 9 Nonagon 5 Pentagon 10 Decagon 6 Hexagon 12 Dodecagon 7 Heptagon n n-gon **Name any polygon larger than 12 sides with n-gon. Example: 14 sided polygon is a 14-gon

EQUILATERAL POLYGON: polygon with all congruent sides. Equilateral hexagon

EQUIANGULAR POLYGON: polygon with all congruent interior angles. Equiangular hexagon

EQUIANGULAR POLYGON: a convex polygon that is both equilateral and equiangular. Regular Pentagon

1. 2. Regular hexagon Equilateral Equiangular Quadrilateral PRACTICE: Classify the polygons by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. 1. 2. Regular hexagon Equilateral Equiangular Quadrilateral Not equilateral Not equiangular

PRACTICE: Find the length of one side of the regular hexagon. Sides of a regular hexagon are congruent: 3𝑥+6=4𝑥−2 − 3𝑥 − 3𝑥 6=𝑥−2 + 2 + 2 𝟖=𝒙 Substitute x to find one length: 3𝑥+6 =3 8 +6 =𝟑𝟎 3𝑥+6 4𝑥−2

HOMEWORK #7: Pg. 44: 3-13, 15-17, 24-30 If finished, work on other assignments: HW #1: Pg. 5: 1, 5, 8-11, 13, 15, 17-21, 27-30, 46 HW #2: Pg. 12: 6-16, 21-28, 33, 35 HW #3: Pg. 19: 5-19, 25-27 HW #4: Pg. 20: 31-34, 43-45, 50-52 HW #5: Pg. 29: 7-27, 33-38, 45, 47, 50, 52, 62 HW #6: Pg. 38: 4-43 odd, 46-52