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6.1 Polygon Sum Conjecture (2009)

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Michael Doroquez
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6.1 Polygon sum conjecture Need: -Notes -Conjecture List
© TRIANGLE SUM CONJECTURE The sum of all the angles in a triangle is 180 degrees. How about in a quadrilateral? © QUADRILATERAL SUM CONJECTURE The sum of all the angles in a quadrilateral is 360 degrees.
How do we figure out the sum of the angles in any polygon?
© POLYGON SUM CONJECTURE The sum of all the angles in an n -gon (any polygon) is (n–2)180.
REVIEW Equilateral Polygon A polygon with all sides congruent Equiangular Polygon A polygon with all angles congruent Regular Polygon A polygon with all angles and sides congruent
How do we figure out how many degrees one angle is in an equiangular polygon?
© EQUIANGULAR POLYGON CONJECTURE The measure of one angle in any equiangular polygon can be found with the expression:
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6.1 Polygon Sum Conjecture (2009)

  • 2. 6.1 Polygon sum conjecture Need: -Notes -Conjecture List
  • 3. © TRIANGLE SUM CONJECTURE The sum of all the angles in a triangle is 180 degrees. How about in a quadrilateral? © QUADRILATERAL SUM CONJECTURE The sum of all the angles in a quadrilateral is 360 degrees.
  • 4. How do we figure out the sum of the angles in any polygon?
  • 5. © POLYGON SUM CONJECTURE The sum of all the angles in an n -gon (any polygon) is (n–2)180.
  • 6. REVIEW Equilateral Polygon A polygon with all sides congruent Equiangular Polygon A polygon with all angles congruent Regular Polygon A polygon with all angles and sides congruent
  • 7. How do we figure out how many degrees one angle is in an equiangular polygon?
  • 8. © EQUIANGULAR POLYGON CONJECTURE The measure of one angle in any equiangular polygon can be found with the expression:
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  • 15. Homework HW #44 Pg 281 #1-14, 18, 19
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