Warm Up 9/21 What is the measure of each angle in a regular octagon?

Slides:

Advertisements

Similar presentations

Warm up the ol’ thinker Solve for x: HOMEWORK QUESTIONS? Pg

Advertisements

Objectives Classify polygons based on their sides and angles.

Interior and Exterior Angles of Polygons

Warm Up A three sided polygon is called a __________.

Geometry 6.1 Prop. & Attributes of Polygons

6.1: Properties of Polygons

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

8.1 – Find Angle Measures in Polygons

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

3.4 Polygons (2 cards). Polygons Naming Polygons  Name the Polygon  Name the Vertices  Name the Sides  Name the Angles.

Geometry 6.1 Angles of Polygons

WARM-UP Tuesday, February 24, 2015

6.1: Polygon Angle Theorems

Objectives Classify polygons based on their sides and angles.

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

6-1 Properties and Attributes of Polygons Holt McDougal Geometry

7.3 Formulas involving polygons

11 Area of Regular Polygons and Circles

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

6-1 The Polygon Angle-Sum Theorems

Polygons and Angles Lesson #3 Pg. 27. Key Vocabulary Polygon – A simple, closed figure formed by three or more line segments Equilateral – A polygon in.

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.

8.1.1 Find Angle Measures in Quadrilaterals Chapter 8: Quadrilaterals.

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

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

Lesson 8.2 (Part 2) Exterior Angles in Polygons

11-1 Angle Measures in Polygons Warm Up Lesson Presentation

7.3 Formulas Involving Polygons. Before We Begin.

Bell Work Find x Find x and y.

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

Angles of Polygons Find the sum of the measures of the interior angles of a polygon Find the sum of the measures of the exterior angles of a This scallop.

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.

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

Holt McDougal Geometry 6-1 Properties and Attributes of Polygons 6-1 Properties and Attributes of Polygons Holt Geometry Warm Up Warm Up Lesson Presentation.

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

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.

Interior and Exterior Angles of Polygons. To find the sum of the interior angle measures of a convex polygon, draw all possible diagonals from one vertex.

Holt McDougal Geometry 6-1 Properties and Attributes of Polygons 6-1 Properties and Attributes of Polygons Holt Geometry Warm Up Warm Up Lesson Presentation.

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.

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

Geometry 3-4 Polygon Angle Sum Theorems. Vocabulary.

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 °

POLYGONS 10/17/2007 NAMING POLYGONS

7.3 Formulas involving polygons

8.1 – Find Angle Measures in Polygons

Sum of Interior and Exterior Angles in Polygons

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

Polygons – Measurements of Angles

Chapter 8: Quadrialterals

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Angles in Polygons.

Lesson 12.3 Angles and Polygons

Angle Relationships in Polygons

8.1 – Find Angle Measures in Polygons

6-1 Properties and Attributes of Polygons Lesson Presentation

Two-Dimensional Figures

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

Objectives Classify polygons based on their sides and angles.

ANGLES OF POLYGONS.

3.4 The Polygon Angle-Sum Theorems

The Polygon Angle-Sum Theorems

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

Day 1 Properties of polygons

Objective: Explore Interior Angles of Polygons

Angle Measures of Polygons

Section 6.1 Polygons.

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS.

Lesson 3-4 Polygons.

Presentation transcript:

Warm Up 9/21 What is the measure of each angle in a regular octagon? Supplies Needed: Calculator What is the measure of each angle in a regular octagon? Draw a picture of the following: A concave quadrilateral A convex nonagon A regular quadrilateral

Reset your password! It is somehow expiring. Infinite Campus Reset your password! It is somehow expiring.

Homework Answers pg. 1090 (1-7)

Homework Answers Angle Chasing Worksheet 1. a = 122° 2. b = 136° 3. c = 108° d = 106° 4. e = 108° f = 36° 5. g = 105° h = 82° 6. j = 120° k = 38°

Objective: Explore Interior and Exterior Angles

Review: Interior Angles An interior angle is an angle formed by two sides of a polygon with a common vertex. A triangle has three interior angles

Review Find the sum of the interior angle measures of a convex heptagon. 900° 2. Find the measure of each interior angle of a regular 16-gon. If a polygon has an interior angle sum of 1800o, what type of polygon is it? Dodecagon

Review Find the measure of each interior angle of pentagon ABCDE. mA = 35(4) = 140° mB = mE = 18(4) = 72° mC = mD = 32(4) = 128°

Each exterior angle has two remote interior angles Each exterior angle has two remote interior angles. A remote interior angle is an interior angle that is not adjacent to the exterior angle. 4 is an exterior angle. The remote interior angles of 4 are 1 and 2. Exterior Interior 3 is an interior angle.

What is the relationship between angle 4 and angles 1 and 2? Exterior Interior pg. 1087

Write a Paragraph Proof! pg. 1087

50° 115° 65° 3 4

Find mB x = 26 mB = 2x + 3 = 2(26) + 3 = 55°

Your turn! pg. 1089 11 and 12

Find the measure of all exterior angles. What is their sum?

Find the measure of all exterior angles. What is their sum?

http://www.mathsisfun.com/geometry/exterior-angles-polygons.html

Find the measure of each exterior angle of a regular 20-gon. A 20-gon has 20 sides and 20 vertices. sum of ext. s = 360°. measure of one ext.  = The measure of each exterior angle of a regular 20-gon is 18°.

Find the value of b in polygon FGHJKL. 15b° + 18b° + 33b° + 16b° + 10b° + 28b° = 360° 120b = 360 b = 3

Homework Pg. 1091-1092 (10-15, 13 should be 6x -1)