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Polygons

Discover the different types of polygons, including triangles, rectangles, squares, trapezoids, rhombuses, parallelograms, pentagons, hexagons, octagons, and decagons. Learn about their unique characteristics, such as side lengths, angles, and regularity.

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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. • Can be “regular” – all sides and all angles are equal to each other

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

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

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

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

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

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

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

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

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

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

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

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

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