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A Presentation On Polygon Submitted byTarni Agarwal (K-1489) Class -VII C Mayo College Girls’ School, Ajmer POLYGONS A polygon is a plane shape with straight sides. It is a closed plane figure made up of several line segments that are joined together. The sides do not cross each other. Exactly two sides meet at every vertex. • Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up). Polygon (straight sides) Not a Polygon (has a curve) Not a Polygon (open, not closed) Polygon comes from Greek. Poly- means "many" and gon means "angle". Types of Polygon • Simple or Complex • A simple polygon has only one boundary, and it doesn't cross over itself. A complex polygon intersects itself! Many rules about polygons don't work when it is complex. Simple Polygon (this one's a Pentagon) Complex Polygon (also a Pentagon) Concave or Convex • A convex polygon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. • If there are any internal angles greater than 180° then it is concave. (Think: concave has a "cave" in it) Convex Concave Regular or Irregular • If all angles are equal and all sides are equal, then it is regular, otherwise it is irregular • Regular polygons are both equiangular and equilateral. Equiangular - all angles are equal. Equilateral - all sides are the same length. Regular Irregular Polygon parts • Side - one of the line segments that make up the polygon. • Vertex - point where two sides meet. Two or more of these points are called vertices. • Diagonal - a line connecting two vertices that isn't a side. • Interior Angle - Angle formed by two adjacent sides inside the polygon. • Exterior Angle - Angle formed by two adjacent sides outside the polygon. Name of Polygons (If it is a regular Polygon) • Name Sides Shapes • Triangle (or Trigon) 3 60o • Quadrilateral (or Tetragon) 4 90o • Pentagon 5 108o • Hexagon 6 120o • Heptagon (or Septagon) 7 128.571o • Octagon 8 135o • Nonagon (or Enneagon) 9 140o • Decagon 10 144o Interior Angle More Examples: Complex Polygon (a "star polygon", in this case, a pentagram ) Concave Octagon Irregular Hexagon
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