Angle Relationships in Polygons

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

POLYGONS 10/17/2007 NAMING POLYGONS

The Polygon Angle-Sum Theorems

Ch 6.1 The Polygon Angle-Sum Theorems Objectives: a) To classify Polygons b) To find the sums of the measures of the interior & exterior  s of Polygons.

8.1 – Find Angle Measures in Polygons

Chapter 24 Polygons.

Polygons Geometry Unit 2.

Chapter 6 Quadrilaterals.

Objectives Classify polygons based on their sides and angles.

Polygons & Quadrilaterals

7.3 Formulas involving polygons

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.

6.1 Polygons Textbook page 303. Definitions A polygon is a plane figure that is formed by three or more segments called sides. (a closed, sided figure)

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

Interior/Exterior Angles in Regular Polygons R.4.G.2 Solve problems using properties of polygons: sum of the measures of the interior angles of a polygon.

Number of sidesName of polygon 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon A polygon is a shape enclosed by straight.

6-1 The Polygon Angle-Sum Theorems

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.

8.1.1 Find Angle Measures in Quadrilaterals Chapter 8: Quadrilaterals.

Finding the Sum of a Polygon’s Interior Angles 5-Oct-15 Here are some polygons The word ‘polygon’ is a Greek word. Poly gon Poly means many and gon means.

Polygon Angles. Naming by # of sides. Polygons have specific names based on the number of sides they have: 3 – Triangle 4 – Quadrilateral 5 – Pentagon.

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.

Do Now ChalkUp “Quadrilateral Review”. 3/17/ C 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.

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.

The sum of the angles of a triangle is always 180 degrees.

1-6 Classify Polygons.

Objectives To identify and name polygons To find the sum of the measures of interior and exterior angles of convex and regular polygons To solve problems.

Chapter 6 Quadrilaterals Sec 6.1 Polygons. Polygon 1.Is a plane figure that is formed by 3 or more segments. No two sides with common endpoint are collinear.

What size is an interior angle in a regular octagon? a) 78°b) 102° c) 135°d) 45°

Interior angles of polygons This is just one of the six interior angles of this polygon.

Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex,

Interior Angle Sum = ( n – 2 )( 180° ) Find the interior angle sum of each polygon. ( 4 – 2 ) 180°= ( 2 ) 180°= 360° ( 6 – 2 ) 180°= ( 4 ) 180°= 720° 1)

Polygon Closed plane figure with at least three sides The sides intersect only at their endpoints No adjacent sides are collinear To name a polygon –Start.

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.

POLYGONS 10/17/2007 NAMING POLYGONS

Determine the name of the polygon

Lesson 3-5 Polygons.

Interior angles of polygons

7.3 Formulas involving polygons

8.1 – Find Angle Measures in Polygons

6.1 Notes: Angles of Polygons

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

Polygons – Measurements of Angles

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Interior angles of polygons

Y8 Polygon Workbook.

Interior and Exterior angles

Angles in Polygons.

Finding the Sum of a Polygon’s Interior Angles

Lesson 12.3 Angles and Polygons

Angles of Polygons.

8.1 – Find Angle Measures in Polygons

Two-Dimensional Figures

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?

Lesson 3-4 Polygons.

The Polygon Angle-Sum Theorem

Section 2.5 Convex Polygons

Angle Measures of Polygons

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS.

Lesson 3-4 Polygons.

Presentation transcript:

Angle Relationships in Polygons # of sides (n) 3 4 5 6 7 8 9 10 # of diagonals from one vertex # of triangles in polygon interior angles exterior angles triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 1 2 3 4 5 6 7 2 3 4 5 6 7 8 180 360 540 720 900 1080 1260 1440 360 360 360 360 360 360 360 360

Time to Graph...

y = m x + b Sum 180 n -360 = Sum=180(n-2)

Example 1: Find the sum of the interior angles of a dodecagon (a figure with 12 sides). Rock on!

Example 2: Find the measure of each interior angle in a regular octagon. A regular polygon has equal sides and equal interior angles.

Example 3: How many sides does a polygon have if each of its interior angles measures 140? Have to sub. something in here This is what we are trying to find There are ‘n’ angles, and each one measures 140 How could you represent the sum of all the interior angles?