6001 sum of angles polygons

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6001 sum of angles polygons

  1. 1. Geometry Drill 1/24/13Pick up a paper and use yourprotractor to find the sum of theinterior angles of the polygonsthat have a check next them.Write down the sum and thenumber of sides
  2. 2. Geometry Drill 1/24/131. What is the sum of theangles of a triangle?2. What is the sum of theangles of a square?
  3. 3. Objective:To determine the interiorand exterior angle sum inany polygon.To determine the measure ofone interior & one exteriorangle of a regular polygon.
  4. 4. POLYGON......1.A CLOSED PLANE FIGURE2. EACH SEGMENT INTERSECTS EXACTLY TWO OTHER SEGMENTS ONE AT EACH ENDPOINT.3. MADE OF 3 OR MORE SEGMENTS
  5. 5. WHICH ARE POLYGONS? 1 2 3 5 6 4
  6. 6. Convex or ConcavePolygons ? 1 2 5 6
  7. 7. Convex Polygons 1 5
  8. 8. CONVEX POLYGONA polygon in which any line segment connecting two points has no part outside the polygon.
  9. 9. CONVEX POLYGON.
  10. 10. Sides Interior Angle Sum 3 180 4 360 5 540 6 720 7 900 8 1080 9 1260 10 1440 n
  11. 11. Conjecture/FormulaThe sum of themeasures of theangles of a convexpolygon with n sidesis _ .
  12. 12. Conjecture/FormulaThe sum of themeasures of theangles of a convexpolygon with n sidesis 180(n–2) _ .
  13. 13. How manyexterior anglesare in thedrawing? Α E Β D C
  14. 14. exterior angles Α ΒE D C
  15. 15. 10 exteriorangles Α Β E D C
  16. 16. We will only beinterested in ONEAT A VERTEX Α Β E D C
  17. 17. Conjecture/ FormulaThe sum of the measuresof the exterior angles ofany convex polygon, oneat each vertex is _____.
  18. 18. Conjecture/ FormulaThe sum of the measuresof the exterior angles ofany convex polygon, oneat each vertex is 360º.
  19. 19. Regular PolygonA polygon with all sidesand angles congruent.
  20. 20. Conjecture/FormulaThe measure of one interiorangle of any regular convexpolygon is _____.
  21. 21. Conjecture/FormulaThe measure of one interiorangle of any regular convexpolygon is 180(n–2) n
  22. 22. Conjecture/FormulaThe measure of oneexterior angle of anyregular convex polygon is_____.
  23. 23. Conjecture/FormulaThe measure of oneexterior angle of anyregular convex polygon is 360º n

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