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. 6 of 7)<br />
Geometry<br />
HS Mathematics<br />
Unit: 12 Lesson: 01<br />
h. Describe the measure of an interior angle of a regular polygon as a function of the number<br />
of sides of the polygon verbally.<br />
i. Based on your previous answers <strong>and</strong> your knowledge of the relationship between the<br />
interior angle of a polygon <strong>and</strong> its exterior angle, describe the measure of an exterior angle<br />
of a regular polygon as a function of the number of sides of the regular polygon. Explain<br />
your reasoning.<br />
j. Create a scatterplot of the measure of an exterior angle of a regular polygon versus the<br />
number of sides of the regular polygon using the graphing calculator. Sketch the graph<br />
below.<br />
k. Enter the expression for the measure of an exterior angle of a regular n-gon from your table<br />
as Y2 <strong>and</strong> graph it along with the scatterplot. Sketch the graph along with your scatterplot in<br />
18.j.<br />
l. Given the context of the situation, describe an appropriate domain <strong>and</strong> range for the<br />
function.<br />
© 2008, TESCCC 12/03/08 page 26 of 49
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