Basic Geometry Unit 10.6 – Polygons
Polygons <ul><li>A  polygon  is a simple, closed figure in a plane that is formed by three or more  sides .  The sides mee...
Frequently Used Types of Polygons: Triangle 3 sides Quadrilateral 4 sides Pentagon 5 sides Hexagon 6 sides Octagon 8 sides...
Less Frequently Used Polygons <ul><li>7 sides – Heptagon </li></ul><ul><li>9 sides – Nonagon </li></ul><ul><li>12 sides - ...
Diagonals & Regular Polygons <ul><li>A  diagonal  is a line segment that joins two nonconsecutive vertices. </li></ul><ul>...
Sums of Interior Angles of Polygons <ul><li>If a polygon has  n  sides, then  n  - 2 triangles are formed, and the sum of ...
<ul><li>A dodecagon is a polygon with 12 sides.  Find the sum of the measures of the angles of a dodecagon by using the fo...
Questions? <ul><li>Homework </li></ul><ul><ul><li>10.6 pg 529 #4-49 </li></ul></ul>
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  1. 1. Basic Geometry Unit 10.6 – Polygons
  2. 2. Polygons <ul><li>A polygon is a simple, closed figure in a plane that is formed by three or more sides . The sides meet only at the vertices . </li></ul>
  3. 3. Frequently Used Types of Polygons: Triangle 3 sides Quadrilateral 4 sides Pentagon 5 sides Hexagon 6 sides Octagon 8 sides Decagon 10 sides
  4. 4. Less Frequently Used Polygons <ul><li>7 sides – Heptagon </li></ul><ul><li>9 sides – Nonagon </li></ul><ul><li>12 sides - Dodecagon </li></ul>
  5. 5. Diagonals & Regular Polygons <ul><li>A diagonal is a line segment that joins two nonconsecutive vertices. </li></ul><ul><li>A regular polygon is a polygon that is equilateral (all sides congruent) and equiangular (all angles congruent.) </li></ul>
  6. 6. Sums of Interior Angles of Polygons <ul><li>If a polygon has n sides, then n - 2 triangles are formed, and the sum of the degree measures of the interior angles of the polygon is ( n - 2) 180. </li></ul>Shape Sides Angle Sum Triangle Quad- rilateral Pentagon Hexagon “ n” - gon
  7. 7. <ul><li>A dodecagon is a polygon with 12 sides. Find the sum of the measures of the angles of a dodecagon by using the formula. </li></ul><ul><li>A stop sign is an octagon. For your model railroad village, you use miniature stop signs. What is the measure of each angle of the stop sign? </li></ul>
  8. 8. Questions? <ul><li>Homework </li></ul><ul><ul><li>10.6 pg 529 #4-49 </li></ul></ul>

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