6.1 Polygons

6.1 Polygons - polygon goes through its interior •...

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Polygon Polygon- a plane figure that (1) is formed by 3 or more segments, such that no two sides with a common endpt are collinear and (2) each side intersects exactly 2 other sides , 1 at each endpt. Means the figure is closed and no sides cross over each other. Vertex- the endpts of each side Think of them as the corner points!
Example side vertex

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Example Is the figure a polygon? yes yes no no
KNOW THIS!!!!!!!!!!!! Or die a horrible painful death Number of sides 3 4 5 6 7 8 9 10 12 n Type of polygon Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon N-gon

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Special types of Polygons Convex- no line that contains a side of a

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Unformatted text preview: polygon goes through its interior • Concave-opposite of a convex • Equilateral-all sides are 2245 • Equiangular-all angles are 2245 • Regular polygon-equilateral and equiangular Example regular? (( ) )) ( NO! ) ( ( yes NO! Diagonals • Diagonal-a segment that joins 2 nonconsecutive vertices j A B C D (ie segments AE and AD) Thm 6.1 Interior ∠ ‘s of a quad • The sum of the measures of the interior ∠ ‘s of a quad =360 o . 1 4 D B 2 C 3 m ∠ 1+m ∠ 2+m ∠ 3+m ∠ 4=360 o Example Find x • x+x+55+55=360 • 2x+110=360 • 2x=250 • X=125 ) ( X X 55 o Assignment Assignment...
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6.1 Polygons - polygon goes through its interior •...

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