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POLYGONS & 
POLYHEDRA 
By Jenna Lin
WHAT IS A POLYGON? 
• POLY MEANS 
MANY 
•GON MEANS 
ANGLE
THESE ARE POLYGONS
THESE ARE NOT POLYGONS
POLYGONS 
• 2-D Closed Shape 
• Made of Line Segments 
• No curves 
• Line Segments Only 
Intersect at the Endpoints
REGULAR POLYGONS 
• All line segments are congruent 
• All angles are congruent. 
Regular Polygons 
Not Regular Polygons
Names of Polygons 
# sides # of angles Name of polygon 
3 3 triangle or trigon 
4 4 quadrilateral or tetragon 
5 5 pentagon 
6 6 hexagon 
7 7 heptagon 
8 8 octagon 
9 9 nonagon or enneagon 
10 10 decagon 
11 11 hendecagon 
12 12 dodecagon
WHAT IS A 
POLYHEDRON?
POLYHEDRON 
A 3-D SHAPE MADE OF 
POLYGONS 
edge 
face 
vertex
PLATONIC 
SOLIDS 
or 
regular polyhedra 
Polyhedra where all 
of the faces are 
congruent; they are 
each made of 
congruent, regular 
polygons.
5 PLATONIC SOLIDS 
regular tetrahedron 
regular octahedron 
regular dodecahedron 
regular hexahedron (cube) 
regular icosahedron
ARCHIMEDIAN 
SOLIDS 
or 
semi-regular polyhedra 
Polyhedra 
which are 
made of more 
than one type 
of congruent, 
regular 
polygons.
A FEW OF THE 
13 ARCHIMEDIAN SOLIDS 
Truncated Icosahedron 
aka 
Buckyball or Soccer Ball 
Truncated Cube 
Truncated Octahedron 
Cuboctahedron

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Polygons n polyhedra for slide share 2014

  • 1. POLYGONS & POLYHEDRA By Jenna Lin
  • 2. WHAT IS A POLYGON? • POLY MEANS MANY •GON MEANS ANGLE
  • 4. THESE ARE NOT POLYGONS
  • 5. POLYGONS • 2-D Closed Shape • Made of Line Segments • No curves • Line Segments Only Intersect at the Endpoints
  • 6. REGULAR POLYGONS • All line segments are congruent • All angles are congruent. Regular Polygons Not Regular Polygons
  • 7. Names of Polygons # sides # of angles Name of polygon 3 3 triangle or trigon 4 4 quadrilateral or tetragon 5 5 pentagon 6 6 hexagon 7 7 heptagon 8 8 octagon 9 9 nonagon or enneagon 10 10 decagon 11 11 hendecagon 12 12 dodecagon
  • 8. WHAT IS A POLYHEDRON?
  • 9. POLYHEDRON A 3-D SHAPE MADE OF POLYGONS edge face vertex
  • 10. PLATONIC SOLIDS or regular polyhedra Polyhedra where all of the faces are congruent; they are each made of congruent, regular polygons.
  • 11. 5 PLATONIC SOLIDS regular tetrahedron regular octahedron regular dodecahedron regular hexahedron (cube) regular icosahedron
  • 12. ARCHIMEDIAN SOLIDS or semi-regular polyhedra Polyhedra which are made of more than one type of congruent, regular polygons.
  • 13. A FEW OF THE 13 ARCHIMEDIAN SOLIDS Truncated Icosahedron aka Buckyball or Soccer Ball Truncated Cube Truncated Octahedron Cuboctahedron