3.5 Polygons
A polygon:
Formed by 3 or more segments
(sides), no two sides with common
endpoints are collinear
Each side intersects exa...
Naming Polygons
Name by vertices
Ex: polygon ABCDEFG
Name by sides
# of Sides Type
3 Triangle
4 Quadrilateral
5 Pentagon
6 Hexagon
7 Heptagon
8 Octagon
9 Nonagon
10 Decagon
12 Dodecagon
n n...
Convex or Concave?
“Concave”
Looks like it is “caving” in
“Convex”
The other kind (close to a
circle)
Convex
pentagon Concave
pentagon
Concave
octagon
Convex
heptagon
Special Polygons
Equilateral
All sides the same
Equiangular
All angles the same
Regular
All sides and angles the same
Regular none of the above Regular
Regular Not a polygonequiangluar
Diagonals:
Connect two
nonconsecutive
vertices
Polygon PQRST
has two diagonals
from Q, QT and
QS
P
Q
R
S
T
P
Q
R
S
T
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Geo 3.5 polygons_notes

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Introduction to polygon names and parts

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Geo 3.5 polygons_notes

  1. 1. 3.5 Polygons
  2. 2. A polygon: Formed by 3 or more segments (sides), no two sides with common endpoints are collinear Each side intersects exactly 2 other sides, one at each end point Endpoints are called a Vertex (vertices)
  3. 3. Naming Polygons Name by vertices Ex: polygon ABCDEFG Name by sides
  4. 4. # of Sides Type 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon n n-gon
  5. 5. Convex or Concave? “Concave” Looks like it is “caving” in “Convex” The other kind (close to a circle)
  6. 6. Convex pentagon Concave pentagon Concave octagon Convex heptagon
  7. 7. Special Polygons Equilateral All sides the same Equiangular All angles the same Regular All sides and angles the same
  8. 8. Regular none of the above Regular Regular Not a polygonequiangluar
  9. 9. Diagonals: Connect two nonconsecutive vertices Polygon PQRST has two diagonals from Q, QT and QS P Q R S T P Q R S T

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