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Determining The Relations Between Shapes

Determining The Relations Between Shapes

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Determining The Relations Between Shapes

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  1. Determining The Relations Between Shapes

  2. The 4 Geometric Shapes

  3. HEXAGON • Six sides • It is a regular polygon • Equilateral (all sides are of equal length) • Equiangular (all interior angles are of equal measure)

  4. RHOMBUS • Four sides • Equilateral (all sides are of equal length) • Opposite sides are parallel

  5. TRAPEZOID • Four sides • One pair of opposite sides are parallel • Isosceles (two sides that are not parallel are of equal length)

  6. TRIANGLE • Three sides • It is a regular polygon • Equilateral (all sides are of equal length) • Equiangular (all interior angles are of equal measure)

  7. Now let’s look at the relations between all four of these shapes…

  8. HEXAGON and RHOMBUS 1 3 1 2 1 hexagon = 3 rhombus

  9. HEXAGON and TRAPEZOID 1 1 2 1 hexagon = 2 trapezoids

  10. HEXAGON and TRIANGLE 1 2 3 1 6 5 4 1 hexagon = 6 triangles

  11. RHOMBUS and TRAPEZOID 1/2 1 1 1 1/2 rhomus = 1 trapezoid

  12. RHOMBUS and TRIANGLE 1 2 1 1 rhombus = 2 triangles

  13. TRAPEZOID and TRIANGLE 1 1 2 3 1 trapezoid = 3 triangles

  14. Determining the relations in some practice problems…

  15. How manyare in? 2

  16. How many are in ? 2

  17. How many are in ? 1 1/2

  18. Independent Practice

  19. If you finish early, you may go to the fun online activity that will give you some more practice with these shapes.http://arcytech.org/java/patterns/patterns_j.shtml