geometry ch6-12

geometric mean
pythagorean theorem
simplifying radicals
common right triangles
- 3,4,5
- 5,12,13
- 8,15,17
- 7,24,25
- and their multiples
triangle theorems
special right triangles
tangent,sine, cosine
circles
arcs
- congruent chords are equidistant from the center of the circle
- a diameter perpendicular to the chord bisects its arc and itself
inscribed angles
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.
locus

a set of all points that satisfy 1 or more conditions
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
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
prism
- La=ph
- ta=la+2b
- volume=b*h
pyramid
- la=1/2pl
- ta=la+b
- volume=1/3b*h
cylinder
- la=2(pi)rh=ph
- v=(pi)h=bh
cone
- la=1/2pl=(pi)rl
- v=1/3bh=1/3(pi)h
sphere
- a=4(pi)
- v=4/3(pi)
distance
slope
equation of a line
setting up coordinate proofs
- use as few letters as possible
- aviod using fractional/radical coordinates
- take advantage of the origin/x-axis/y-axis

Author

kellantran

ID

221534

Card Set

geometry ch6-12

Description

geometry

Updated

2013-05-29T02:17:41Z

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