geometry ch6-12

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1. geometric mean
2. pythagorean theorem
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
 Author: kellantran ID: 221534 Card Set: geometry ch6-12 Updated: 2013-05-29 02:17:41 Tags: geometry Folders: Description: geometry Show Answers: