# Polygons - PowerPoint PPT Presentation

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Polygons. 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. Polygons.

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Polygons

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### Polygons

• 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

### Polygons

• 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

### Polygons

• 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

### Polygons

• 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

### Polygons

• 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)