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The similarity ratio for the above picture would be 5/10, or 1/2.

**Important To Note**

All sides must have the same similaritiy ratio:

5/10 = 2/4 = 3/6 =1/2

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Section 3.5

Section 7.2

Section 10.3

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Sum of Interior Angles: (n-2)180

Individual Interior Angle: (n−2) x 180 ÷ n

Sum of Exterior Angles: ALWAYS 360

Individual Exerior Angle: 360 ÷ n

**n represents the number of sides in a Polygon**

Area of a Regular Polygon: A =½ ap

**a represents the apothem (a line that connects the center point to a side at a right angle and bisects that side length**

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http://mathworld.wolfram.com/images/eps-gif/ConvexPolygon_1000.gif

http://www.mathplanet.com/media/43895/similar_polygons.jpg

http://images.tutorvista.com/cms/images/113/regular-polygon1.png

http://maths.nayland.school.nz/Year_11/AS1.6_Geometric_Reason/Images/Poster_images/ScreenShot015.jpg

http://maths.nayland.school.nz/Year_11/AS1.6_Geometric_Reason/Images/Poster_images/ScreenShot014.jpg

http://static.fjcdn.com/pictures/Pentagon_168b73_226601.jpg

http://www.mathsisfun.com/geometry/images/quadrilateral-class.gif

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A polygon is a closed figure with at least 3 sides that are segments;

the sides only intersect at their endpoints.

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Convex- All diagonals will be drawn inside the figure (every interior angle will be less than 180°)

Concave- Possible to draw diagonals outside the figure ( at least one interior angle is more than 180°)

Regular- A polygon with congruent sides and angle

Similar- Polygons with congruent corresponding angles and

corresponding sides in proportion

Similar Polygons have similarity ratios (the ratio of two corresponding sides)

*If You Forgot*

A diagonal is a segment connecting two corners/vertices of a figure.