2d and 3d shape notes

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Geometry

  • angles in a triangle add up to 180 degrees
  • angles on a straight line add up to 180 degrees
  • angles in a quadrilateral add up to 360 degrees
  • angles round a point add up to 360 degrees
  • exterior angle of a triangle=sum of opposite interior angles
  • isoseles triangles have 2 sides the same and 2 angles the same

Parallel lines

angles around parallel lines

  • when a line crosses two parallel lines, it forms special sets of angles
  • the two bunches of angles formed at the points of intersection are the same
  • there are actually only two different angles involved and they add up to 180 degrees
  • vertically opposite angles are equal

alternate,allied and corresponding angles

  • alternate angles are the same and are found in a z shape
  • allied angles add up to 180 degrees and are found in a c or u shape
  • corresponding angles are the same and are found in an f shape

Polygons

regular polygons

  • regular polygons have equal sides and equal angles
  • equilateral triangle-3 sides
  • square-4 sides
  • pentagon-5 sides
  • hexagon-6 sides
  • heptagon-7 sides
  • octagon-8 sides
  • nonagon-9 sides
  • decagon-10 sides

Interior and exterior angles

  • sum of exterior angles is 360 degrees
  • sum of interior angles=(n-2)x180
  • in regular polygons, you can find the exterior angle by dividing 360 by the number of sides
  • in regular…

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