1.6 Classify Polygons.

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Objectives Classify polygons based on their sides and angles.

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Presentation transcript:

1.6 Classify Polygons

1.6 Classify Polygons A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is called nonconvex or concave.

1.6 Classify Polygons Example 1:

A POLYGON IS NAMED BY THE NUMBER OF ITS SIDES! 1.6 Classify Polygons A POLYGON IS NAMED BY THE NUMBER OF ITS SIDES!

- A polygon with 14 sides is a 14-gon 1.6 Classify Polygons The term n-gon, where n is the number of a polygon’s sides, can also be used to name a polygon. - A polygon with 14 sides is a 14-gon

1.6 Classify Polygons In an equilateral polygon, all sides are congruent. In an equiangular polygon, all angles are congruent. A regular polygon is a convex polygon that is both equilateral and equiangular.

1.6 Classify Polygons Example 2:

1.6 Classify Polygons Example 3: A table is shaped like a regular hexagon. The expressions shown represent side lengths of the hexagonal table. Find the length of a side. One given side is (3x + 6) inches and the other given side is (4x – 2) inches.