Polygons

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# Polygons - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about 'Polygons' - marrim

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Presentation Transcript
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

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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)