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100 points What is the name of a polygon with 6 sides?
100 Points A Hexagon!
200 Points What is the name of a polygon with 7 sides?
A Heptagon or Septagon! 200 Points
300 Points What is the name of a regular polygon with an exterior angle of 36 o ?
N = 10 A Decagon 300 Points
400 Points What is the name of a polygon with an interior angle sum of ?
N = 9 A Nonagon! 400 Points
500 Points What is the name of a regular polygon with an interior angle of 150 o ?
500 Points N = 12 A dodecagon!
What is the formula or strategy you would use to calculate the measure of an exterior angle of a regular polygon? 100 Points
Exterior Angle = 360/n 100 Points
200 Points What is the formula you would use to calculate the sum of the interior angles?
Interior Sum = (n-2) Points
300 Points What is the formula you would use to calculate one interior angle of a regular polygon?
300 Points Interior Angle = (n-2)180 n
400 Points If you are given the interior angle, how would you calculate the exterior angle?
400 Points The interior and exterior angles are supplementary, so Exterior = interior
500 points Set up the equation that you would use to solve for x. Dont solve it. x0x0 x0x0 x0x0 x0x0 X
500 points 4x + 4(x+10) = 1080 Or 8x + 40 = 1080 x0x0 x0x0 x0x0 x0x0 X
100 Points Draw a polygon and label and interior angle.
100 points x
200 Points Draw a polygon and label the exterior angle.
200 Points x
300 Points What is the name of an 8 sided figure?
300 Points Octagon
500 Points Draw a hexagon and label the central angle
100 Points What is the sum of the interior angles of a 56-gon?
Sum = 9720 o 100 Points
200 Points What is the measure of one interior angle in a 14-gon?
Interior angle = o 200 Points
300 Points If the measure of the exterior angle is 81 o, what is the measure of the interior angle?
300 Points interior angle = 99 o
400 Points Solve for x. X 87 o 141 o 140 o 85 o 135 o
400 Points X = 132 0
500 Points What are the measures of each angle? 2x x + 2 3x + 4 2x + 10 A D E C B
500 Points X = 34 m
100 Points What is the sum of the exterior angles of a 256-gon?
100 Points Sum = 360 o
200 Points What is the measure of one exterior angle of a regular nonagon?
200 Points Exterior angle = 40 0
300 Points If the measure of an interior angle is 120 o, what is the measure of the corresponding exterior angle?
300 Points Exterior angle = 60 o
400 Points Solve for x. 4x + 1 4x + 2 3x + 6 3x + 1
400 Points X = 25
500 Points Solve for x. 5x
500 Points X = 9
100 Points What is the measure of the central angle of a pentagon?
100 Points Central angle = 72 o
200 Points What is the measure of the central angle of a decagon?
200 Points Central angle = 36 o
300 Points How many sides does a regular polygon have if the central angle is 15 o ?
300 Points N = 24 sides
400 Points Autumn went to the fair and rode the Ferris wheel. If the Ferris wheel had 18 cars that were evenly spaced, what was the measure of the central angle separating the spokes?
400 Points Central angle = 20 o
500 Points Chris is designing a decagonal merry-go-round for his local park. If Chris wants 10 bars going from the center to the edge to be evenly spaced, how many degrees apart must he place them?
500 Points Chris must place the bars 36 o apart.
List the names of the polygons with three sides all the way through 12 sides. Include name and number of sides.
Triangle (3), Quadrilateral (4), pentagon (5), hexagon (6), heptagon/Septagon (7), octagon (8), nonagon (9), decagon (10), undecagon/hendecagon (11), dodecacon (12)
Daily Double What do you call a polygon with 11 sides?
7.3 Formulas Involving Polygons. Before We Begin.
Angles in Polygons. Sums of Interior Angles TriangleQuadrilateralPentagon Heptagon Octagon Hexagon = 2 triangles = 3 triangles = 4 triangles = 5 triangles=
Unit 2 Polygons In The Plane. These figures are not polygonsThese figures are polygons Definition:A closed figure formed by a finite number of coplanar.
8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.
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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.
6-1 The Polygon Angle-Sum Theorems. Polygon Angle-Sum Theorem.
. A B
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CHAPTER 6 Quadrilaterals. 6.1 ANGLES OF POLYGONS.
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.
Sec. 3-5 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.
Chapter 24 Polygons. Learning Outcomes Find missing interior angles in a polygon Find missing exterior angles in a polygon Find missing interior.
Aim: How do we find angle measures in polygons? A polygon is a closed figure whose sides are line segments that intersect only at their endpoints. In a.
7.3 Formulas Involving Polygons Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number.
POLYGONS GEOMETRY UNIT 2. POLYGON: Origin:Greek “Poly-” meaning “many” and “-gon” meaning “angle” Definition:a 2-dimensional, closed, shape made of three.
What size is an interior angle in a regular octagon? a) 78°b) 102° c) 135°d) 45°
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.
Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex,
Objective: After studying this section, you will be able to use some important formulas that apply to polygons.
Warm Up 1.A three sided polygon is called a __________. 2.A four sided polygon is called a ___________. 3.A five sided polygon is called a ___________.
8 th Grade Math POLYGONS. A polygon is a plane figure with at least three straight sides and angles, and typically five or more. WHAT IS A POLYGON?
11.1 Angles in Polygons. Quick Review Polygon—any closed figure with straight sides that do not cross one another Regular Polygon—a polygon with all congruent.
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.
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.
Lesson 1-6: Polygons 1 Lesson 1-6 Polygons. Lesson 1-6: Polygons 2 These figures are not polygonsThese figures are polygons Definition:A closed figure.
The Polygon Angle-Sum Theorems Geometry 12.0 – Students find and uses measures of interior and exterior angles of triangles and polygons to classify figures.
POLYGONS POLYGONS Moody Mathematics. What is the term for a 3- sided polygon? Triangle Moody Mathematics.
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.
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Essential Question – How can I find angle measures in polygons without using a protractor?
What is the degree measure of each interior angle and exterior angle in a regular 18-gon? 18-gon: 18-gon: polygon with 18 sides regular: regular: all angles.
Unit 8 Polygons and Quadrilaterals Polygons.
Number of sidesName of polygon 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon A polygon is a shape enclosed by straight.
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6.1 Properties and Attributes of Polygons. Polygon Vocab POLYGON: Diagonal: Concave Polygons: Convex polygons: Regular polygon:
3.4 Polygons (2 cards). Polygons Naming Polygons Name the Polygon Name the Vertices Name the Sides Name the Angles.
# of sides # of triangles Sum of measures of interior angles 31 1(180)= (180)= (180)= (180)=720 n n-2(n-2) 180.
© T Madas. Equilateral Triangle Square Pentagon Hexagon Heptagon Octagon Enneagon Decagon Hendecagon Dodecagon.
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.
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