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9.7 Tessellations

9.7 Tessellations. Analyzing Tessellations. A tessellation (or tiling) is a repeating pattern of figures that covers a plane without gaps or overlaps. They can be made from translations, rotations and reflections

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9.7 Tessellations

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  1. 9.7 Tessellations

  2. Analyzing Tessellations • A tessellation (or tiling) is a repeating pattern of figures that covers a plane without gaps or overlaps. • They can be made from translations, rotations and reflections • They may have reflectional, rotational, translational, and glide reflectionalsymmetry • They can be found in art, nature and everyday life • All triangles and quadrilaterals can tessellate. • Not all shapes can tessellate.

  3. Determining if a figure tessellates • Find the measure of an interior angle • Check to see if 360° is divisible by this number Hexagon: interior angle = (n-2)180 n = 4(180)/6 = 120 Yes 360 is divisible by 120 so a regular hexagon can tessellate

  4. Glide symmetry and rotational symmetry

  5. 120° rotational symmetry and glide symmetry

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