Polygons Section 3-1.

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Presentation transcript:

Polygons Section 3-1

Definitons Polygon Greek word meaning “many angled” Closed plane figure formed by three or more segments (sides) Sides can only intersect at their endpoints The intersection of two sides is called the vertex Name a polygon by listing the vertices in consecutive order

Convex and Concave Polygons Convex (no indentation) No segment connecting two vertices contains points outside the polygon Concave (has indentation) A polygon that is not convex

Names of Polygons Number of Sides Name of Polygon 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 12 Duodecagon 20 Icosagon

Definitions Consecutive Angles Two angles with a common side B C <A and <B are Consecutive angles A <B and <C are Consecutive angles

Defintions (con’t) Adjacent (consecutive) Sides Sides that intersect B C AB and BC are adjacent sides A

Defintions (con’t) Adjacent (consecutive) Vertices Vertices of consecutive angles Points B C A and B are Adjacent Vertices A

Defintions (con’t) Diagonal A segment joining a pair of nonconsecutive vertices B C A AC is a diagonal

Examples