geometry ch6-12

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Author:
kellantran
ID:
221534
Filename:
geometry ch6-12
Updated:
2013-05-28 22:17:41
Tags:
geometry
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Description:
geometry
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  1. geometric mean
  2. pythagorean theorem
  3. simplifying radicals
  4. common right triangles
    • 3,4,5
    • 5,12,13
    • 8,15,17
    • 7,24,25
    • and their multiples
  5. triangle theorems
  6. special right triangles
  7. tangent,sine, cosine
  8. circles
  9. arcs
    • congruent chords are equidistant from the center of the circle
    • a diameter perpendicular to the chord bisects its arc and itself
  10. inscribed angles
  11. concurrent lines
    • 3 angle bisectors of a triangle intersect in 1 point equidistant from 3 sides of the triangle.
    • 3 perpendicular bisectors of the sides of the triangle intersect in 1 point equidistant from 3 vertices of a triangle
    • 3 altitudes of a triangle intersect in 1 point
    • 3 medians of a triangle intersect in 1 point that is 2/3 of the distance from each vertex
    •  to the midpoint of the opposite side.
  12. locus
    a set of all points that satisfy 1 or more conditions
  13. Area
    • square=
    • rectangle=b*h
    • trapezoid=1/2h(b1+b2)
    • parallelogram=b*h
    • triangle=1/2b*h
    • a regular polygon=1/2ap
    • circle=(pi)
    • circumference=2(pi)r
    • sector=*(pi)
    • arc length=*2(pi)r
  14. ratio of perimeter,area,volume
    • if the scale factor of 2 similar figures are a:b the
    • ratio of perimeter is a:b
    • ratio of area is 
    • ratio of volume is 
  15. prism
    • La=ph
    • ta=la+2b
    • volume=b*h
  16. pyramid
    • la=1/2pl
    • ta=la+b
    • volume=1/3b*h
  17. cylinder
    • la=2(pi)rh=ph
    • v=(pi)h=bh
  18. cone
    • la=1/2pl=(pi)rl
    • v=1/3bh=1/3(pi)h
  19. sphere
    • a=4(pi)
    • v=4/3(pi)
  20. distance
  21. slope
  22. equation of a line
  23. setting up coordinate proofs
    • use as few letters as possible
    • aviod using fractional/radical coordinates
    • take advantage of the origin/x-axis/y-axis

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