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Determining The Relations Between Shapes. The 4 Geometric Shapes. HEXAGON. Six sides It is a regular polygon Equilateral (all sides are of equal length) Equiangular (all interior angles are of equal measure). RHOMBUS. Four sides Equilateral (all sides are of equal length)
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HEXAGON • Six sides • It is a regular polygon • Equilateral (all sides are of equal length) • Equiangular (all interior angles are of equal measure)
RHOMBUS • Four sides • Equilateral (all sides are of equal length) • Opposite sides are parallel
TRAPEZOID • Four sides • One pair of opposite sides are parallel • Isosceles (two sides that are not parallel are of equal length)
TRIANGLE • Three sides • It is a regular polygon • Equilateral (all sides are of equal length) • Equiangular (all interior angles are of equal measure)
Now let’s look at the relations between all four of these shapes…
HEXAGON and RHOMBUS 1 3 1 2 1 hexagon = 3 rhombus
HEXAGON and TRAPEZOID 1 1 2 1 hexagon = 2 trapezoids
HEXAGON and TRIANGLE 1 2 3 1 6 5 4 1 hexagon = 6 triangles
RHOMBUS and TRAPEZOID 1/2 1 1 1 1/2 rhomus = 1 trapezoid
RHOMBUS and TRIANGLE 1 2 1 1 rhombus = 2 triangles
TRAPEZOID and TRIANGLE 1 1 2 3 1 trapezoid = 3 triangles
How many are in ? 1 1/2
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