Solid mensuration lecture #2

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Solid mensuration lecture #2

  1. 1. SOLID MENSURATION MATH 005A Lecture #2 • Angles a. Forms of angles b. Systems in Angle Measurement • Planes / Polygon
  2. 2. Angle 
  3. 3. Forms of Angles Angles Measurement Acute angle The angle measures less than 90 degrees Right angle The angle measures exactly 90 degrees Obtuse angle The angle measures greater than 90 degrees but less than 180 degrees Straight angle The angle measures exactly 180 degrees Reflex angle The angle measures greater than 180 degrees but less than 270 degrees Circular angle The angle measures exactly 360 degrees
  4. 4. Systems in Angle Measurement 
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  8. 8. Polygon A polygon is a closed plane figure formed by line segments.  Parts of Polygon a. sides – or the edge of the polygon, that make up the polygon. b. vertices – are the endpoints of each side c. diagonal – is a line segment joining two nonadjacent vertices of the polygon. d. interior angle – is the angle formed by two adjacent sides inside the polygon e. exterior angle – is an angle that is adjacent to and supplementary to an interior angle of the polygon. 
  9. 9. Naming of Polygon Number of sides Name of Polygon 3 Triangle or trigon 4 Quadrilateral or tetragon 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 11 Undecagon or hendecagon 12 Dodecagon 13 Tridecagon or triskaidecagon 14 Tetradecagon or tetrakaidecagon
  10. 10. 15 Pentadecagon or pentakaidecagon 16 Hexadecagon or hexakaidecagon 17 Heptadecagon of heptakaidecagon 18 Octadecagon or octakaidecagon 19 Enneadecgaon or enneakaidecagon 20 icosagon 30 triacontagon 40 Tetracontagon 50 Pentacontagon 60 Hexacontagon 70 Heptacontagon 80 Octacontagon 90 Enneacontagon 100 Hectogon or hecatontagon
  11. 11. Side s Prefix and Sides Suffix 20 icosa or icosi kai + 1 henagon 30 Triaconta kai + 2 digon 40 Tetraconta kai + 3 trigon 50 entaconta kai + 4 tetragon 60 Hexaconta kai + 5 pentagon 70 Heptaconta kai + 6 hexagon 80 Octaconta kai + 7 heptagon 90 Enneaconta kai + 8 octagon 9 enneagon

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