Unformatted text preview: The Polygon AngleSum
Theorem
Theorem
Section 34 Defn. of Polygon
Defn.
A polygon is a closed plane figure with
at least three sides that are
segments. The sides intersect only
at their endpoints, and no adjacent
sides are collinear.
sides convex polygon – a polygon that
convex
has no diagonal with points
outside the polygon
outside
concave polygon  a polygon that
concave
has at least one diagonal point
with points outside the polygon
with convex concave regular polygon – a convex
polygon with all sides
congruent and all angles
congruent
congruent 3 sides: triangle
sides
4 sides: quadrilateral
5 sides: pentagon
6 sides hexagon
8 sides: octagon
9 sides: nonagon
10 sides: decagon
12 sides: dodecagon
n sides: ngon Interior Polygon Angle Sum
Thm.(39)
Thm.(39) If a convex polygon has n
sides and S is the sum of
the measures of its interior
angle, then S = 180(n2).
angle, Polygon Exterior Angle Sum
Thm. (310)
Thm. If a polygon is convex, then
the sum of the measures of
the exterior angles, one at
each vertex, is 360.
each Joke Time
Joke Why do lumberjacks make
good musicians?
good
because of their natural logarithms What do you do if you are
outside during a
thunderstorm?
thunderstorm?
coincide
coincide ...
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 Fall '10
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 Geometry, Polygon Exterior Angle Sum

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