6.1 Polygons.

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Presentation transcript:

6.1 Polygons

What is a polygon? A plane figure that meets these 2 conditions: it is formed by three or more segments called sides (no 2 sides with a common endpoint are collinear) - Each side intersects exactly 2 other sides, one at each endpoint.

Example of a Polygon

Identifying polygons

Not Polygons

Naming Polygons

More on naming… Polygons are named by the number of sides they have.

Convex vs. Concave A polygon is convex if no line containing a side of the polygon does not contain a point in the interior of the polygon.

Concave A polygon is concave if when a side is extended, it contains points in the interior of the polygon.

Convex or Concave??

Regular Polygons A polygon is regular if it is equilateral (all sides are congruent) and equiangular (all interior angles are congruent).

Diagonals Diagonals of a polygon are segments that join 2 nonconsecutive vertices.

Interior angles of a quadrilateral… Add to 360º

Find angle Q and angle R 80+70+x+2x=360 150+3x=360 3x=210 X = 70 AngleR is 2(70)=140