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1.6 Classify Polygons                                               August 22, 2011




                                                  Bellwork
         1. What are complementary angles? sum = 90 degrees
         2. m   JLM?        M
                             105
                        15         L       105 + 15 = 120
                             J
         3. Given that   3 is a supplement of    4 and m   3=119 , find m   4.
         4. Name a pair of vertical angles.                   180 ­ 119 = 61
                         2 1           1,4; 2,5; 3,6
                    3       6
                        4 5

         5. Did you know that you may use your notes on Bellwork?

                                   Yes you may!




HW pg. 44 #3­29 odds                                                                  1
1.6 Classify Polygons                                                    August 22, 2011




                                                   1.6 Classify Polygons
        Polygon: closed figure w/
                         1. formed by 3 or more sides
                         2. each side intersects exactly 2 sides at each endpoint
                             (no collinear points) 

        Naming a polygon: list the vertices in consecutive order

                                  A


                     B                         D


                                                       Vertex

                         C                 E




      Identifying a polygon: 
             Convex: no line contains                    Concave: a line contains a 
                    a point in the interior        vs.     point in the interior of 
                    of the polygon                         the polygon.




HW pg. 44 #3­29 odds                                                                       2
1.6 Classify Polygons   August 22, 2011




HW pg. 44 #3­29 odds                      3
1.6 Classify Polygons                                                   August 22, 2011




                                                     Classifying Polygons


            3                 4              5              6            10

          Triangle       Quadrilateral    Pentagon        Hexagon      Decagon


                                                     n­gon: n is the number of sides

        Equilateral: all sides ≅

                        Equiangular: all angles in interior are ≅

                                         Regular: covex, equilateral & equiangular




HW pg. 44 #3­29 odds                                                                      4
1.6 Classify Polygons   August 22, 2011




HW pg. 44 #3­29 odds                      5
1.6 Classify Polygons   August 22, 2011




HW pg. 44 #3­29 odds                      6
1.6 Classify Polygons   August 22, 2011




HW pg. 44 #3­29 odds                      7
1.6 Classify Polygons   August 22, 2011




     HW:
     pg. 44
     #3­29 odds




HW pg. 44 #3­29 odds                      8

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1.6 notes

  • 1. 1.6 Classify Polygons August 22, 2011 Bellwork 1. What are complementary angles? sum = 90 degrees 2. m   JLM? M 105 15 L 105 + 15 = 120 J 3. Given that   3 is a supplement of    4 and m   3=119 , find m   4. 4. Name a pair of vertical angles. 180 ­ 119 = 61 2 1 1,4; 2,5; 3,6 3 6 4 5 5. Did you know that you may use your notes on Bellwork? Yes you may! HW pg. 44 #3­29 odds 1
  • 2. 1.6 Classify Polygons August 22, 2011 1.6 Classify Polygons Polygon: closed figure w/                  1. formed by 3 or more sides                  2. each side intersects exactly 2 sides at each endpoint                      (no collinear points)  Naming a polygon: list the vertices in consecutive order A B D Vertex C E Identifying a polygon:  Convex: no line contains    Concave: a line contains a  a point in the interior  vs. point in the interior of                of the polygon the polygon. HW pg. 44 #3­29 odds 2
  • 3. 1.6 Classify Polygons August 22, 2011 HW pg. 44 #3­29 odds 3
  • 4. 1.6 Classify Polygons August 22, 2011 Classifying Polygons 3 4 5 6 10 Triangle Quadrilateral Pentagon Hexagon Decagon n­gon: n is the number of sides Equilateral: all sides ≅ Equiangular: all angles in interior are ≅ Regular: covex, equilateral & equiangular HW pg. 44 #3­29 odds 4
  • 5. 1.6 Classify Polygons August 22, 2011 HW pg. 44 #3­29 odds 5
  • 6. 1.6 Classify Polygons August 22, 2011 HW pg. 44 #3­29 odds 6
  • 7. 1.6 Classify Polygons August 22, 2011 HW pg. 44 #3­29 odds 7
  • 8. 1.6 Classify Polygons August 22, 2011 HW: pg. 44 #3­29 odds HW pg. 44 #3­29 odds 8