2.4 - Angle Properties in Polygons - WordPress.com...Ch2 Section 4 In a CONVEX POLYGON,each interior...

8
Ch2 Section 4 In a CONVEX POLYGON,each interior angle is <180°. 2.4 - Angle Properties in Polygons A REGULAR POLYGON has all EQUAL sides & all EQUAL angles. A POLYGON is a CLOSED figure made up of 3 or more line segments. regular quadrilateral irregular quadrilateral irregular quadrilateral convex pentagon concave pentagon >180° In a CONCAVE POLYGON,at least one interior angle is >180°. Fix these on your sheet! ACTIVITY 1: Divide each polygon into triangles by drawing diagonals from ONE vertex to all NON-ADJACENT vertices. The first couple are done for you. Polygon # of Sides # of Triangles Formed Sum of Interior Angles Triangle 3 1 180 Quadrilateral 4 2 360 Pentagon Hexagon Heptagon Octagon Nonagon Decagon n - gon Make conjecture be made about the sum of Interior Angles of any polygon. _____________________________________________________________ _____________________________________________________________

Transcript of 2.4 - Angle Properties in Polygons - WordPress.com...Ch2 Section 4 In a CONVEX POLYGON,each interior...

  • Ch2 Section 4

    In a CONVEX POLYGON,each interior angle is 180°

    In a CONCAVE POLYGON,at least one interior angle is >180°.

    Fix these on your sheet!

    ACTIVITY 1: Divide each polygon into triangles by drawing diagonals from ONE vertex to all NON-ADJACENT vertices. The first couple are done for you.

    Polygon # of Sides # of Triangles FormedSum of

    Interior Angles

    Triangle 3 1 180

    Quadrilateral 4 2 360

    Pentagon

    Hexagon

    Heptagon

    Octagon

    Nonagon

    Decagon

    n - gon

    Make conjecture be made about the sum of Interior Angles of any polygon.__________________________________________________________________________________________________________________________

  • Ch2 Section 4

    3. 4. 5. 6.

    7. 8. 10.9.

    To find the sum of the measures of the INTERIOR angles of any polygon, use

  • Ch2 Section 4

    ACTIVITY 2: Draw 1 exterior angle per vertex. Fill in the table below. The first one is done for you.

    Polygon Sum of Interior AnglesSize of each

    Interior AngleSize of each

    Exterior AngleSum of

    Exterior Angles

    Triangle 180 60 120 360

    Quadrilateral

    Pentagon

    Hexagon

    Heptagon

    Octagon

    Nonagon

    Decagon

    N - gon

    Make a conjecture for the sum of the Exterior Angles of a regular convex polygon.

    ______________________________________________________________________________________________________________________________

    3.

  • Ch2 Section 4

    3. 4. 5.

    6. 7.0 180

    10 170

    20160

    30

    15040

    14050

    13060

    120

    70

    110

    80

    100

    90

    90

    0°

    100

    80

    110

    70

    120

    60

    130

    50

    140

    40

    150

    30

    16020

    17010

    1800

    To find the measure of each INTERIOR angles in a regular polygon, use

    When there is only one exterior angle per vertex, the sum of the EXTERIOR angles of any REGULAR polygon is 360o.

  • Ch2 Section 4

    2. The sum of the measures of the interior angles of a polygon is 900o. What type of polygon is it?

    3. Find the measure of each Exterior Angle of a regular dodecagon (12-sided).

    1. Find the sum of the measures of the interior angles of a polygon with...

    a. 25 sides.

    Apply Your Knowledge:

    b. 30 sides.

  • Ch2 Section 4

    4. Determine the value of x in the diagram below.Then find the measure of each indicated angle.

    5. Find the measures of all angles.

    A

    B

    C

    D

    E

    Homeworkp99102#2,3,6,7,10,11,14

  • Ch2 Section 4

    4. Determine the value of x in the diagram below.Then find the measure of each indicated angle.

    5. Find the measures of all angles.

    A

    B

    C

    D

    E

    Homeworkp99102#2,3,6,7,10,11,14

  • Attachments

    2s3e2 finalt.mp4

    SMART Notebook

    Page 1Page 2Page 3Page 4Page 5Page 6Page 7Attachments Page 1


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

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

3-5 THE POLYGON ANGLE- SUM THEOREMS SWBAT: Classify polygons Find the sums of the measures of the interior and exterior angles of polygons.

3-5 THE POLYGON ANGLE- SUM THEOREMS SWBAT: Classify polygons Find the sums of the measures of the interior and exterior angles of polygons.

Unit 6 Introduction to Polygons This unit introduces Polygons. It defines polygons and regular polygons, and has the Polygon Angle Sum theorem. This unit.

Unit 6 Introduction to Polygons This unit introduces Polygons. It defines polygons and regular polygons, and has the Polygon Angle Sum theorem. This unit.

6.1 Polygons Interior and Exterior Angles 011513 · and _____ angles are outside the polygon and form a linear pair with an interior angle of the polygon. All ... 6.1 Polygons Interior

6.1 Polygons Interior and Exterior Angles 011513 · and _____ angles are outside the polygon and form a linear pair with an interior angle of the polygon. All ... 6.1 Polygons Interior

POLYGON S Interior & Exterior Angles of Irregular Polygons.

POLYGON S Interior & Exterior Angles of Irregular Polygons.

Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100.

Polygons and Polygon Angle Measures 100 200 400 300 400 Polygons Sum of Interior Angles Each Interior Angle Exterior Angles 300 200 400 200 100 500 100.

Polygon Exterior Angle Sum.pdf

Polygon Exterior Angle Sum.pdf

1.6 – Two- Dimensional Figures. Polygons A polygon is a closed figure formed by sides. The vertex of each angle is a vertex of the polygon. A polygon.

1.6 – Two- Dimensional Figures. Polygons A polygon is a closed figure formed by sides. The vertex of each angle is a vertex of the polygon. A polygon.

Objectives : Recognize polygons Name polygons Recognize convex polygons Find diagonals of a polygon Identify special types of quadrilaterals.

Objectives : Recognize polygons Name polygons Recognize convex polygons Find diagonals of a polygon Identify special types of quadrilaterals.

6-1 The Polygon Angle-Sum · PDF file6-1 The Polygon Angle-Sum Theorems 1. ... Rate how well you can fi nd angle measures of polygons. Answers may vary. Sample: If each interior angle

6-1 The Polygon Angle-Sum · PDF file6-1 The Polygon Angle-Sum Theorems 1. ... Rate how well you can fi nd angle measures of polygons. Answers may vary. Sample: If each interior angle

Chapter 7 Geometric Relationships Intro - jensenmath 7 geometric... · Angle Properties in Polygons The sum of the exterior angles of a convex polygon is 360 degrees. For a polygon

Chapter 7 Geometric Relationships Intro - jensenmath 7 geometric... · Angle Properties in Polygons The sum of the exterior angles of a convex polygon is 360 degrees. For a polygon

Shapes and Designs Jeopardy Names of Polygons Finding the Missing Angle Estimating Angle Measurements Comparing Angle Measurements Angle Sums of Polygons.

Shapes and Designs Jeopardy Names of Polygons Finding the Missing Angle Estimating Angle Measurements Comparing Angle Measurements Angle Sums of Polygons.

Polygon Angle Evaluation Christmas

Polygon Angle Evaluation Christmas

Polygon Angle Sum.pdf

Polygon Angle Sum.pdf

8.1 Find Angle Measures in Polygons - Denton ISD Find Angle Measures in Polygons Obj.: To find angle measures in polygons. Key Vocabulary • Diagonal - A diagonal of a polygon is

8.1 Find Angle Measures in Polygons - Denton ISD Find Angle Measures in Polygons Obj.: To find angle measures in polygons. Key Vocabulary • Diagonal - A diagonal of a polygon is

Unit 7 – Polygons and Circles Diagonals of a Polygon

Unit 7 – Polygons and Circles Diagonals of a Polygon

Area of Polygons and Circles Chapter 11. 11.1 Angle Measures in Polygons The sum of the measures of the interior angles of a polygon depends on the number.

Area of Polygons and Circles Chapter 11. 11.1 Angle Measures in Polygons The sum of the measures of the interior angles of a polygon depends on the number.

Angle in Polygons

Angle in Polygons

Shpes Polygon Properties and Tilingdroyster/courses/ma201-202/Presentations...Angle Sums of Regular Polygons A. 1. In Problem 2.3, you measured the angles of some regular polygons-triangles,

Shpes Polygon Properties and Tilingdroyster/courses/ma201-202/Presentations...Angle Sums of Regular Polygons A. 1. In Problem 2.3, you measured the angles of some regular polygons-triangles,

Find and use the measures of interior and exterior angles of polygons. Objectives 6.1: Polygon Angle Theorems Handbook p. 19.

Find and use the measures of interior and exterior angles of polygons. Objectives 6.1: Polygon Angle Theorems Handbook p. 19.