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Slide 2 6.1 Polygons Day 1 Slide 3 What is polygon? Formed by three or more segments (sides). Each side intersects exactly two other sides, one at each endpoint. Has vertex/vertices. Slide 4 Polygons are named by the number of sides they have. Fill in the blank. Number of sidesType of polygon 3Triangle 4 5 6 7 8 Quadrilateral Pentagon Hexagon Heptagon Octagon Slide 5 Concave vs. Convex Convex: if no line that contains a side of the polygon contains a point in the interior of the polygon. Concave: if a polygon is not convex. interior Slide 6 Example Identify the polygon and state whether it is convex or concave. Concave polygon Convex polygon Slide 7 AA polygon is equilateral if all of its sides are congruent. AA polygon is equiangular if all of its interior angles are congruent. AA polygon is regular if it is equilateral and equiangular. Slide 8 Decide whether the polygon is regular. ) ) ) ) ) )) ) ) Slide 9 A Diagonal of a polygon is a segment that joins two nonconsecutive vertices. diagonals Slide 10 Interior Angles of a Quadrilateral Theorem The sum of the measures of the interior angles of a quadrilateral is 360. A B C D m