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Polygons

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- 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 segment is called a side of the polygon
- Each point where two segments meet is called a vertex of the polygon

- A polygon is named based on the number of sides it has
- triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, undecagon, dodecagon
- A polygon with more than 12 sides is an n-gon, e.g., a 20-gon

- A polygon is named by listing the vertices in order
- Consecutive edges, vertices, and angles are the edges, vertices, and angles next to each other

- A diagonal of a polygon is a line segment that connects two nonconsecutive vertices
- A polygon is convex if no diagonal lies outside the polygon
- A polygon is concave if at least one diagonal lies outside the polygon

- Congruent polygons
- Two polygons are congruent if and only if the corresponding sides and angles are congruent

- Using “if and only if” means the statement is true in both directions
- If two polygons are congruent then the corresponding sides and angles are congruent
- If the corresponding sides and angles of two polygons are congruent then the polygons are congruent

CAMP SITE

- Special polygons
- Equilateral polygons have all sides congruent
- Equiangular polygons have all angles congruent
- Regular polygons are both equilateral and equiangular (All sides and all angles are congruent)