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Polygons

Exploring. Polygons. What is a polygon?. Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. Polygon or NOT?. Polygon or NOT?. Regular or Irregular?.

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Polygons

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  1. Exploring Polygons

  2. What is a polygon? • Polygons are many-sided figures, with sides that are line segments. • Polygons are named according to the number of sides and angles they have.

  3. Polygon or NOT?

  4. Polygon or NOT?

  5. Regular or Irregular? • Can be “regular” – all sides and all angles are equal to each other. Regular or irregular?

  6. Can you make a 2-sided polygon? • Try to draw it in your notebook. • Talk and Turn to discover whether this is possible or not. Why or why not?

  7. What are 3-sided polygons called? • TRIANGLES!

  8. Isosceles Triangles • Two sides of equal length • Three acute angles • Sum of angles = 180°

  9. Isosceles Chant! • Teacher: When I say, isosceles, you say 2 sides equal! Isosceles! Isosceles! • Students: 2 sides equal! 2 sides equal!

  10. Equilateral Triangles • All sides equal length • Three acute angles • Sum of angles = 180° • Is a regular polygon

  11. Equilateral Chant! • Teacher: When I say, equilateral, you say all sides equal! Equilateral! Equilateral! • Students: all sides equal! all sides equal!

  12. Scalene Triangles • No sides are equal • No angles are equal • May have obtuse angle • Sum of angles = 180 °

  13. Scalene Chant! • Teacher: When I say, scalene, you say NO sides equal! Scalene! Scalene! • Students: NO sides equal! NO sides equal!

  14. Another way to classify triangles! • By their angles!!

  15. Right Triangle • Has 1 right angle! • 90 degrees • The little square box in the corner

  16. Talk and Turn: • Can you make a triangle with 2 right angles? Why or why not?

  17. Acute Triangle • Triangle with all angles LESS than 90 degrees. • The curve shows that it is an acute angle. • ALL triangles have some acute angles. • An acute triangle is special, because it has ALL acute angles.

  18. Obtuse Triangle: • A triangle with one obtuse angle (more than 90 degrees) • Talk and Turn: can you make a triangle with more than one obtuse angle? Why or why not?

  19. What do you call a 4-sided polygon? • 4 sides • 4 angles • QUAD = 4

  20. Quadrilateral Classification • There are many types of SPECIAL quadrilaterals

  21. Rectangles • Opposite sides are parallel • Opposite side are equal in length • Each angle equals 90° • Sum of angles = 360°

  22. Squares • All sides equal • All angles equal and are 90 ° each • Sum of angles = 360 ° • Is a regular polygon

  23. Trapezoids • Two sides are parallel • Has obtuse and acute angles • Sometimes has a right angle • Sum of angles = 360 °

  24. Rhombuses (rhombi) • All four sides of equal length • Opposite angles are equal – 2 acute angles, 2 obtuse angles • Sum of angles = 360 ° • Regular polygon

  25. Parallelograms • Opposite sides parallel • Opposite sides equal in length • Opposite angles equal • Sum of angles = 360 °

  26. “Just a Boring Square” • http://www.schooltube.com/video/2020fa2f642304cf32e4/Polygon-Song

  27. Pentagons • 5 sides • Sum of angles = 540 ° • Regular polygon

  28. Hexagons • 6 sides • Sum of angles = 720 ° • Can be regular polygon

  29. Octagons • 8 sides • Sum of angles = 1080 ° • Can be regular polygon

  30. Nonagon • 9 sided polygon • 9 angles

  31. Decagons • 10 sides • Sum of angles = 1440° • Can be regular polygon

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