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Chapter 6 Polygons

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Chapter 6 Polygons Definitions Polygon many sided figure 3 sided triangles 4 sided quadrilaterals 5 sided pentagons 6 sided hexagons 7 sided ... – PowerPoint PPT presentation

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Title: Chapter 6 Polygons


1
Chapter 6 Polygons
2
Definitions
  • Polygon many sided figure
  • 3 sided triangles
  • 4 sided quadrilaterals
  • 5 sided pentagons
  • 6 sided hexagons
  • 7 sided heptagons
  • 8 sided octagons
  • 10sided decagons
  • More sides n gons

3
Name These Polygons
Octagon
Quadrilateral
Hexagon
Triangle
Pentagon
4
Polygon Formulas
  • Interior angles
  • The sum 180(n-2) n is number of sides
  • Exterior angles
  • The sum 360 degrees

Any adjacent Interior and Exterior Angles are
supplementary Because they form a straight line
5
Regular Polygons
  • Regular Polygons all sides/angles are congruent
    to each other
  • Each interior angle 180(n-2)/n
  • Each interior angle 360/n

6
Example
Find the measure of each Interior
Angle 180(n-2)/n 180(5-2)/5
108 deg
This is a regular Pentagon
Find the measure of each exterior Angle 360/n
360/5 72
108
72
7
Example 2
This is a non regular Pentagon
Find the value of x and y
80
First find the sum of interior Angles 180(n-2)
180(5-2) 540
y
70
x
110
100
Then find x All other angles total
430 540 430 110
140
110
Lastly find y 180 110 70
8
Quadrilaterals
  • Quadrilaterals have 4 sides

9
Types of Quadrilaterals
Parallelograms
Opposite Sides Parallel
Opp. Sides All rt Opp. Sides
Rhombuses
Rectangles
Same as parallelograms, But all sides
Same as Rect. But ALL sides
Squares
10
Parallelograms
Opp. Sides parallel
So theyre both Parallelograms
Whats in common?
Rhombuses
11
Squares
Rhombuses
Whats in common?
Opp Sides are parallel
All sides are congruent
Theyre both Parallelograms
12
Give all the possible names of this Parallelogram
Rhombuses
If 4 sides are congruent
Squares
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