Math Final Study Guide Terms

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Anonymous
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155959
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Math Final Study Guide Terms
Updated:
2012-05-26 23:31:43
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Geometry
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  1. vector
    A quantity that has both direction and magnitude, or size, and is represented by an arrow drawn between 2 points
  2. initial point
    starting point of the vector
  3. terminal point
    ending point of the vector
  4. component form
    • <5,3> (5 units to the right and 3 units up)
    • <-1,-9> (1 unit to the left and 9 units down)
  5. translation
    double reflection across 2 parallel lines
  6. coordinate notation
    • (x,y) --> (x+3, y-2) (right 3 and 2 down)
    • (x,y) --> (x, y+4) (stays the same, up 4)
  7. Line of reflection is the ____________ of the ________________.
    Perpendicular bisector, segment joining pre-image to image
  8. composition
    when 2 or more transformations are combined to produce a single transformation
  9. cross product property
    the product of the extremes equals the product of the means
  10. Reciprocal Property
    If two ratios are equal then their reciprocals are also equal
  11. means
    bottom right and top left
  12. extremes
    top left and bottom right
  13. geometric mean of 2 #s
    the square root of the product of the 2 #s
  14. When corresponding angle are congruent then ________________.
    Corresponding sides are proportional
  15. AA~
    Two cooresponding angles congruent in two triangles = similar triangles
  16. SSS~
    All three corresponding sides congruent = similar triangles
  17. SAS~
    Two corresponding sides sandwhiching one coresponding angle are congruent = similar triangles
  18. If a line parallel to one side of a triangle intersects the other two sides, then ________________.
    It divides the two sides proportionally
  19. If a line divides 2 sides of a triangle proportionally, then __________________.
    It is parallel to the third side
  20. If 3 parallel lines intersect two transversals, then _______________.
    They divide the transversals proportionally
  21. If a ray bisects an angle of a triangle, then __________________.
    It divides the opposite side into segments whose lengths are proportional to the lengths of the other 2 sides
  22. If k>0
    enlargement
  23. if 0<k<1
    reduction
  24. Thm. 9.1
    If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other
  25. Thm. 9.2
    If the altitude is drawn to the hypotenuse of a right triangle, then the length of the altitude is the geometric mean of the lengths of the two segments
  26. Thm. 9.3
    If the altitude is drawn to the hypotenuse of a right triangle, then the length of each leg of the right triangle is the geometric mean of the length of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg
  27. Pythagorean Thm. Converse
    c squared = a squared + b squared
  28. Solve a right triangle if you know...?
    • 2 side lengths
    • 1 side length and 1 acute angle measure
  29. Concentric Circles
    Circles that have the same center and different radii
  30. Common internal tangent
    intersects the segment that joins the centers of the two circles
  31. Common external tangent
    doesn't intersects the segment that joins the centers of the two circles
  32. Find angle created by two chords (internal intersection)
    measure angle = (measure of intercepted arc + measure of arc opposite intersected arc)/2
  33. Find angle created by two secants (outer intersection)
    measure angle = (measure of larger intercepted arc - measure of smaller intercepted arc)/2
  34. Find the angle created by 1 secant and 1 tangent (outer)
    measure angle = (measure of larger intercepted arc - measure of smaller intercepted arc)/2
  35. Find angle created by two tangents (outer)
    measure angle = (measure of larger intercepted arc - measure of smaller intercepted arc)/2

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