Regular Polygons and Angle Relationships
Regular Polygons and Angle Relationships
Regular Polygons and Angle Relationships
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<strong>Regular</strong> <strong>Polygons</strong> <strong>and</strong> <strong>Angle</strong> <strong>Relationships</strong> (pp. 2 of 7)<br />
Geometry<br />
HS Mathematics<br />
Unit: 12 Lesson: 01<br />
7. Based on the data in your table, write a function for the interior angle sum of a polygon in<br />
terms of the number of sides of a polygon.<br />
8. What is the significance of the coefficient of the variable that represents the number of sides of<br />
the polygon in your function? Explain.<br />
9. Sketch a graph of the function in question 7.<br />
10. What is the domain <strong>and</strong> range of the function you graphed in question 8?<br />
11. Are there parts of the graph that do not represent the pattern generated by the data in the<br />
table? Explain. What is an appropriate domain <strong>and</strong> range given the context of the problem<br />
setting? Explain your reasoning.<br />
12. Use the function you wrote in question 7 to predict the interior angle sum for a 12 sided<br />
polygon.<br />
13. Use the function you wrote in question 7 to determine the type of polygon that has an interior<br />
angle sum of 1080.<br />
14. Is it possible to have a polygon with an interior angle sum of 2430? Why or why not?<br />
© 2008, TESCCC 12/03/08 page 22 of 49
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