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Understanding Polygons: Definitions, Properties, and Types

A polygon is a closed figure in a plane formed by connecting line segments, called sides, at their endpoints, known as vertices. Different types of polygons are classified by the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), and up to decagons (10 sides). The diagonals of a polygon connect nonconsecutive vertices. Furthermore, congruent polygons have matching sides and angles. This guide will help you understand the essential properties of polygons and how to name them effectively.

michael-stokes
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Understanding Polygons: Definitions, Properties, and Types

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  1. POLYGONS New shapes, their properties, and new definitions

  2. What is a polygon?? • A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. • Each line segments is called a SIDE. • Where two endpoints meet is called a VERTEX.

  3. For Example, • Polygons: Where are the sides and vertices? How many sides do each polygon have? How many vertices do each have?

  4. Consecutive Angles, Vertices and Sides Consecutive angles Consecutive vertices Consecutive sides

  5. Naming Polygons • SIDESNAME 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Septagon 8 Octagon 9 Nonagon 10 Decagon n n-gon

  6. Naming A Polygon • Simply list the vertices in consecutive order. For example, A B E D C Pentagon AEDCB, or ABCDE. Could NOT be DACEB, BADCE, etc.

  7. Diagonals • A DIAGONAL of a polygon is a line segment that connects two nonconsecutive vertices. A E B D C

  8. Congruent Polygons • If polygons are congruent, then all corresponding sides and angles are congruent. T R C N C O H E

  9. Find the missing angles and sides w K E O T P N H R I

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