Lesson 8.2 (Part 2) Exterior Angles in Polygons

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

Find Angle Measures in Polygons

Interior and Exterior Angles of Polygons

Warm Up A three sided polygon is called a __________.

8.1 Find Angle Measures in Polygons

Geometry 5 Level 1. Interior angles in a triangle.

Chapter 24 Polygons.

6.1: Polygon Angle Theorems

Chapter 6 Quadrilaterals.

Geometry Chapter Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

(over Lesson 10-1) Slide 1 of 1 1-1a.

10-2: Diagonals and Angle Measure

7.3 Formulas involving polygons

Assignment P : 1, 2-10 even, 11-21, 24-28, 37-41

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS. POLYGONS NOT POLYGONS.

6-1 The Polygon Angle-Sum Theorems

6-1 The Polygon Angle-Sum Theorems

Math 1 March 16 th What you need today in class: 1.Pick up a calculator 2.Turn in Homework – page 13 WARM-UP: You DO NOT have to copy the problem, but.

Chapter 6: Polygons and Quadrilaterals. Polygon terms we know: Kite Trapezoid Polygons Quadrilateral Rectangle Square Concave Convex Side Vertex Diagonal.

8.1.1 Find Angle Measures in Quadrilaterals Chapter 8: Quadrilaterals.

Triangle Sum Theorem. Draw a Triangle Make sure your lines are dark!

1 Tambourines The frame of the tambourine shown is a regular heptagon. What is the measure of each angle of the heptagon? Angles and Polygons 13.3 LESSON.

ANGLES OF POLYGONS SPI SPI Identify, describe and/or apply the relationships and theorems involving different types of triangles, quadrilaterals.

8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.

GEOMETRY What lies behind us and what lies before us are tiny matters compared to what lies within us. Ralph Waldo Emerson Today: – 11.1 Instruction –

Geometry Section 8.1 Find Angle Measures in Polygons.

Polygons and Quadrilaterals I can classify polygons and find their angle measures.

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

CP Geometry Mr. Gallo. Shapes for the next page. Draw all the diagonals possible from only one vertex. Use the information in the chart on the next page.

More with interior and exterior angles of polygons

7.3 Formulas Involving Polygons. Before We Begin.

Polygons & Parallelograms

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

Geometry. 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon.

Then: You name and classified polygons Now: 1.Find and use the sum of the measures of the interior angles of a polygon. 2.Find and use the sum of the measures.

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

Do Now. Section 8.2 Angles in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex polygon with n sides.

Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.

Informal Geometry 10.2 Diagonals and Angle Measure.

6.1 Notes The Polygon Angle-Sum Theorem. Investigation Sketch a polygon with 4,5,6, and 8 sides. Divide each polygon into triangles by drawing all diagonals.

# of sides # of triangles Sum of measures of interior angles 31 1(180)= (180)= (180)= (180)=720 n n-2(n-2) 180.

Schedule for the next 7 weeks: 1)4/27-5/1: A) 11.1 & ) 5/4-5/8: A) Ch.11: ) 5/11-5/15: A) Ch.12: Prisms, Cylinders 4) 5/18-5/22: A) Ch.12:

Polygons. Polygon Interior Angle Theorem The sum of the measures of the interior angles of a convex polygon is given by: Sum = 180(n – 2) where n represents.

7.1 Interior and Exterior Angles in Polygons. What is the sum or the interior angles in a triangle? 30 ° 60 ° 100 ° 30 ° 50 ° 60 ° 80 ° 60 ° 40 ° 80 °

Polygon Worksheet 1. Concave Polygon Convex Polygon.

Lesson 3-5 Polygons.

Polygons Subtitle.

6.1 The Polygon Angle-Sum Theorem

8.1 Angles of Polygons What you’ll learn:

6-1 Angles of Polygons The student will be able to:

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

Lesson 3.3 Objective/Topic: Determine the sum of interior angles of a polygon. To determine the measures of exterior angles of a polygon. Essential Question:

Polygons – Measurements of Angles

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Find Angle Measures in Polygons

Calculate the size of the interior angles in a regular hexagon

Angles in Polygons.

Lesson 12.3 Angles and Polygons

8.1 – Find Angle Measures in Polygons

6.1 Notes: Angles of Polygons

Two-Dimensional Figures

ANGLES OF POLYGONS.

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

Math Humor Q: What type of figure is like a lost parrot?

The Polygon Angle-Sum Theorem

Angle Measures of Polygons

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS.

Module 15: Lesson 1 Interior & Exterior Angles

Angle Measures in Polygons

Presentation transcript:

Lesson 8.2 (Part 2) Exterior Angles in Polygons Pages 419 - 420

What is the sum of the measures of the exterior angles of a polygon? Draw a convex polygon with 3, 4, 5, etc sides (regular polygons work best for this example). Draw an exterior angle from each vertex. Given the interior angle measure, calculate the exterior angle measures and add them together. Look for a pattern. Polygon # of degrees in 1 interior angle # of degrees in 1 exterior angle Sum of exterior angles Triangle Quadrilateral Pentagon Hexagon

Polygon Exterior Angles Theorem The sum of the measures of the exterior angles of a convex polygon is 360⁰. Example 1: Find the sum of the exterior angles of a convex heptagon. Example 2: Find the sum of the exterior angles of a convex 12-gon.

Find the value of x. 89⁰ 3x 60⁰ 73⁰ 116⁰ x 92⁰ 46⁰

Find the value of x. 3x 70⁰ x x 2x 75⁰ 110⁰ 65⁰

Assignment: 8.2 B Worksheet