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Polygons

Polygons. By Beth Roberts. Polygons. A polygon is a figure that is made up of only line segments. It is a closed figure and its sides intersect in exactly two places.

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Polygons

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  1. Polygons By Beth Roberts

  2. Polygons • A polygon is a figure that is made up of only line segments. It is a closed figure and its sides intersect in exactly two places. • There are many different polygons; this slide will look at the triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon and decagon. • There are regular polygons and irregular polygons.

  3. Regular Polygons • A regular polygon is a polygon where all sides are equal in length and all angles have the same measure. • An equilateral triangle is a regular polygon and so is a square.

  4. Irregular Polygons • In an irregular polygon, one or more sides do not equal the length of the others.

  5. Triangles • A triangle is the simplest polygon. • Triangles only have three sides. • There are several different types of triangles. • The sum of the angle measures in a triangle is 180 degrees.

  6. Triangles (continued) • Triangles classified by their sides are the isosceles, scalene and equilateral. • Triangles classified by their angle measure are the acute, obtuse and right.

  7. Triangles (continued) Triangle Image

  8. Quadrilaterals • A quadrilateral is a four-sided polygon. • The sum of the angle measures in a quadrilateral is 360 degrees. • There are several different types of quadrilaterals.

  9. Types of Quadrilaterals • Rectangle – any quadrilateral where all four angles are right angles. • Square - a quadrilateral with four equal sides that meet at 90 degree angles. • Parallelogram - a quadrilateral with two sets of parallel sides.

  10. Types of Quadrilaterals (continued) • Rhombus - a quadrilateral where all four sides are of equal length. The difference between a square and a rhombus is that in a rhombus, all the sides don't need to meet at 90 degree angles. • Trapezoid - a quadrilateral that has exactly one pair of parallel sides.

  11. Images of Quadrilaterals • Quadrilaterals

  12. Pentagon • A pentagon is a five-sided polygon. • The sum of the angles in a pentagon is 540 degrees.

  13. Hexagon • A hexagon is a six-sided polygon. • The sum of the angles in a hexagon is 720 degrees.

  14. Heptagon • A heptagon is a seven-sided polygon. • The sum of the angle measures in a heptagon is 900 degrees.

  15. Octagon • An octagon is an eight-sided figure. • The sum of the angle measures in an octagon is 1080 degrees.

  16. Nonagon • A nonagon is a nine-sided figure. • The sum of the angle measures in a nonagon is 1260 degrees.

  17. Decagon • A decagon is a ten-sided figure. • The sum of the angle measures in a decagon is 1440 degrees.

  18. Links to Web Pages for More Information on Polygons • Figures and Polygons • Polygons • How Many Sides? • What is a Polygon?

  19. Further Information • Polygon Worksheet • Worksheet Answers • Back to Polygon Information

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