Geometry: Getting Started - Polygons
This is a free lesson from our course in Geometry
This lesson introduces to the basics and concept of polygon, accepted patterns of names, polygon parts, special polygons etc. The presentation covering such content will be done by the instructor in own handwriting, using video and with the help of several examples with solution. Polygon is a closed plane figure made up of three or more line segments that are joined together.
The sides do not cross each other and two sides exactly meet at every vertex.
Remember: polygons are two-dimensional geometric figures with the characteristics:
• they are made of straight line segments.
• each segment joins exactly two other segments, one at each of its endpoints.
• they are closed i.e. they divide the plane into two distinguished regions- one inside and the other outside the polygon. (More text below video...)
<h2> Geometry - Getting Started - Polygons </h2> <p> The most commonly known polygons are the triangle, the rectangle, and the square.</p> <p> line, triangle, square, angle, segment, geometry, polygon, sides, equal, rectangle, quadrilateral, pentagon, regular polygon, geometry help, diagonals, vertices, interior angles, practice questions, solutions </p>
Other useful lessons:
Classifying Polygons
Interior and Exterior Angles of Polygons
(Continued from above) Examples of polygons:
Nomenclature - polygon parts:
Side - A finite sequence of straight line segments that make up the polygon.
adjacent sides - The segments that share a vertex
vertex - Point where two sides meet. Two or more of such points (always end points of the segments) are called vertices.
diagonal - A line connecting two vertices that is not a side.
interior Angle - Angle formed by two adjacent sides inside the polygon.
exterior Angle - Angle formed by two adjacent sides outside the polygon.
A polygon is named for its vertices, but these must be listed in order. It may go in any direction, but the consecutive vertices are next to each other in the name. E.g. the polygon above could be called DEFABC, or AFEDCB, or any other name having six vertices in order.
In general individual polygons are named according to the number of sides/angles, combining a Greek-derived numerical prefix with the suffix –gon. E.g. pentagon (5 sides), dodecagon (12 sides) etc. In cases of large numbers; a variable can even be used, usually n-gon (n sides). The triangle (3 sides), quadrilateral (4 sides) etc. are exceptions.
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