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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 l.jpg

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


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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


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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


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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


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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)


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