5/17/2015 geometry section 6.1 polygons. polygon 1. a plane figure formed by three or more segments...
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Polygon
1. A plane figure formed by three or more segments called sides.
2. Each side intersects exactly two other sides, one at each endpoint
Sides: the segments that form the polygon.
Vertex: an endpoint of a side of the polygon
No Curves!
A closed figure.
Identifying Polygons
C D
one of its sides intersects
more than two other sides
A
B
E
some of its sides are notsegments (No curves allowed!)
two of the sides intersect
only one other side (Must be a closed figure)
NamesPolygons are named by the # of sides they have
34567891012n
TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagonDecagonDodecagonn-gon
Convex polygon:
.
If you extend any of the sides, the side will not cut through the polygon.
Concave polygon: If you extend a side, the side may cut through the polygon.
Equilateral polygon: All sides are
Equiangular polygon:all interior angles are .
Identifying Convex and Concave Polygons
6hexagon
convex
concave
heptagon7
Identify the polygon and state whether it is convex or concave
Regular polygons
A polygon is regular if it is both
__________and ___________
Diagonal: ____________________ ____________________.
equilateral equiangular.
A segment that joins two nonconsecutive vertices.
Identifying Convex and Concave Polygons
Identify the polygon and state whether it is convex or concave
Regular polygons
A polygon is regular if it is both
__________and ___________
Diagonal: ____________________ ____________________.