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# Geom7-3

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### Transcript

1. Geom7­3.notebook January 10, 2012 Tuesday is for squares. E BELL WORK:  ` 110o H Find m    RHJ R J Whats up for the week: • 7.3 today • 7.4 tomorrow (receive chapter review guide) • review Thursday • Chapter 7 test Friday 1
2. Geom7­3.notebook January 10, 2012 7.3 ­ Formulas Involving Polygons Names of polygons: table on p.307 (know them!) Lets find the sum of the interior angles of some polygons... 2
3. Geom7­3.notebook January 10, 2012 Lets work up a formula! Theorem: The sum Si of the measures of the angles of a  polygon with n sides is given by: Si = (n­2)180. Now lets take a look at the same polygons, but instead consider the sum of  the exterior angles if exactly 1 exterior angle is taken at each vertex... Theorem: If one exterior angle is taken at each vertex, the sum Se of  the measures of the exterior angles of a polygon is 360o. 3
4. Geom7­3.notebook January 10, 2012 Our last point to make!  How many diagonals can you draw inside of a polygon with n sides? d = n(n ­ 3) 2 EXTRA CREDIT OPPORTUNITY: Write an explanation for this formula.  What does the n mean? What is the n ­ 3? Why divide by 2? due by tomorrow Ex: Find Si, Se, and d (# of diagonals) for a dodecagon. 4
5. Geom7­3.notebook January 10, 2012 Ex: What is the name of a polygon if the sum of the measures of  its interior angles is 1080o? EXIT SLIP: Find Si and Se for: a) a 93­gon b) a heptagon Homework: p.309 #3a,3d,4,5,7,10 DUE Thursday 5