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# 6.1 Polygon Sum Conjecture (2009)

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### 6.1 Polygon Sum Conjecture (2009)

1. 1. Tests?
2. 2. 6.1 Polygon sum conjecture Need: -Notes -Conjecture List
3. 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. 4. How do we figure out the sum of the angles in any polygon?
5. 5. © POLYGON SUM CONJECTURE The sum of all the angles in an n -gon (any polygon) is (n–2)180.
6. 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. 7. How do we figure out how many degrees one angle is in an equiangular polygon?
8. 8. © EQUIANGULAR POLYGON CONJECTURE The measure of one angle in any equiangular polygon can be found with the expression:
9. 9. CLASSWORK WORKSHEET
10. 15. Homework HW #44 Pg 281 #1-14, 18, 19