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Determining The Relations Between Shapes

This lesson delves into the relationships between four important geometric shapes: hexagon, rhombus, trapezoid, and triangle. We'll discuss their properties, including sides, angles, and types. The hexagon has six sides and is both equilateral and equiangular. The rhombus features four equal sides with opposite sides parallel. The trapezoid has one pair of parallel sides, while the triangle has three sides, also equilateral and equiangular. Practical exercises will help reinforce these concepts, including determining how many shapes fit into one another.

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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

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