Properties and Attributes of Polygons

Slides:

Advertisements

Similar presentations

Find Angle Measures in Polygons

Advertisements

Polygons and Their Angles

Warm Up A three sided polygon is called a __________.

8.1 Find Angle Measures in Polygons

8.1 – Find Angle Measures in Polygons

3.6 Angles in Polygons Objectives: Warm-Up:

Math 1 March 19 th What you need today in class: 1.Pick up a calculator and warm-up sheet 2.Turn in Homework – page 18 WARM-UP (Don’t copy question – just.

6.1: Polygon Angle Theorems

Section 6.2 Angles of Polygons.

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.

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

6.1 Classify polygons based on their sides and angles.

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.

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

Polygons Keystone Geometry

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

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.

Discovering Geometry Chapter 5 Test Review HGHS

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

Chapter 8.1 Notes: Find Angle Measures in Polygons Goal: You will find interior and exterior angle measures in polygons.

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

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

Geometry Section 8.1 Find Angle Measures in Polygons.

3.4 Find Angle Measures in Polygons Thompson Objectives: 1. To find the sum of the measures of the interior and exterior angles in any n-gon.

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: The Polygon Angle-Sum Theorem. Objectives To classify polygons. To find the sums of the measures of the interior and exterior angles of a.

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

Polygons What are properties (rules) of the different types of Quadrilaterals?

7.3 Formulas Involving Polygons. Before We Begin.

Polygons & Parallelograms

Unit 2 MM1G3 a Sum of the Interior and Exterior angles in Polygons!

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

Warm Up Week 4. Section 11.1 Day 1 I will find the measures of interior and exterior angles of a polygon. 180 ⁰ 360 ⁰ 540 ⁰ 720 ⁰ 3 sides 4 sides.

Chapter 11-Area of Polygons & Circles Angle Measures in Polygons Section 11.1 Goal – To find the measures of interior and exterior angles of polygons.

CH. 5-1: POLYGON ANGLES Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

6-1 “Angles of Polygons”. Then/Now You named and classified polygons. Find and use the sum of the measures of the interior angles of a polygon. Find and.

Unit 8 Polygons and Quadrilaterals Polygons.

Informal Geometry 10.2 Diagonals and Angle Measure.

Geometry Section 11.1 Angle Measures in Polygons

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

Polygon Equations Summary. Equation The sum of the exterior angles of a polygon is always 360 o. The sum of the exterior angles of a polygon is always.

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.

Polygons 1 What is the difference between concave and convex?

5.1 Angles of Polygons. Sum of interior angles of an n-gon: (n-2)180 degrees Each interior angle of a regular n-gon: (n-2)180/n degrees Sum of exterior.

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

8.1 Find Angle Measures in Polygons Hubarth Geometry.

Geometry Name: __________________________ Unit 4 – Polygon NotesDate: ___________________________ Polygons – - __________________________________________________.

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.

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 °

Determine the name of the polygon

Polygons Subtitle.

Polygons – Measurements of Angles

6.1 Notes: Angles of Polygons

8.1 Angles of Polygons What you’ll learn:

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

Polygons – Measurements of Angles

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Find Angle Measures in Polygons

Angles of a Polygon Diagonal of a polygon – A segment that connects any two nonconsecutive vertices. The number of triangles formed by drawing diagonals.

An angle inside a polygon

6.1 Notes: Angles of Polygons

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

ANGLES OF POLYGONS.

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

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

Angle Measures of Polygons

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS.

Lesson 3-4 Polygons.

Presentation transcript:

Properties and Attributes of Polygons 6.1 Properties and Attributes of Polygons

Polygon Vocab POLYGON: Diagonal: Concave Polygons: Convex polygons: Regular polygon:

Name the polygon by how many sides it has.

Sum of interior angles (& each angle!)

Sum interior angles = (n – 2)•180º Ex 1: Find the sum of the measures of interior angles of the convex polygon: (*Think – how many triangles will it divide into?) a) hexagon b) decagon c) 13-gon b) 121-gon

6-1: Angles Measures in Polygons 4/15/2017 Ex 2: Find the value of x 3x-2 3x 3x+4 4x-5 4x x+3 Find sum of all interior angles 2) Set up equation Ex 3: The sum of the interior angles = 2700º. Find the # of sides. M217 - Denna

Ex 4: Find the number of sides (n) of the convex regular polygon if… (Formula to find the sum of angles: ___________________) ONE interior angle = 160º

Exterior Angles of a polygon: Find each exterior angle 1 = 2 = 3 = 4 = 5 = Sum =

Ex 6: Find the value of x

For ALL Convex Polygons Sum of exterior angles Sum = 360º ONE exterior angle of a regular n-gon is: Exterior  = 360 n

In Summary… Sum interior angles of a convex n-gon is: Sum = (n – 2)180 One interior angle of a regular n-gon is:

Ex 7: Find the measure of each exterior and interior angle if given the # of sides of a regular polygon. 7 sides Exterior Angle Interior Angle 19 sides