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Polygon assessment

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Polygon assessment

  1. 1. Polygon Sides Angle Sum Interior AngleTriangle 3 180 60
  2. 2. Polygon Sides Angle Sum Interior AngleQuadrilateral 4 360 90Pentagon 5 540 108Hexagon 6 720 120Octagon 8 1080 135
  3. 3. Polygon Interior Angle Pentagon 108 The interior angles do not add108+108+108 = 324 up to 360o, therefore it means108+108+108+108 = 432 that regular pentagons do not tessellate. Polygon Interior Angle Octagon 135 The interior angles do not add 135+135 = 270 up to 360o, therefore it means 135+135+135 = 405 that regular octagons do not tessellate.
  4. 4. Tessellation must tile a floor with no overlapping or gaps, and theyshould be regular polygons.To tessellate using the regular polygons, you need to use the ones thattheir interior angles add up to 360 degrees.For triangles: interior angle = 60 degrees60+60+60+60+60+60 = 360For squares: interior angle = 90 degrees90+90+90+90 = 360For hexagons: interior angle = 120 degrees120+120+120 = 360For pentagons: interior angle = 108 degrees108+108+108 = 324
  5. 5. 6-3-6-3 TESSELLATION
  6. 6. Triangle’s interior angle: 60o 60o+120o+60o+120o = 180o+180o = 360oHexagon’s interior angle: 120o
  7. 7. Interior angle of an octagon: 135O135o+90o+135o Interior= 360o angle of a square: 90O
  8. 8. Interior Interior Interior 150o+120o+90o angle of a angle of adodecagon: hexagon: angle of a = 270o+90o square: 90O 150O 120O = 360o

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