Matrices

Card Set Information

Author:
sweetchildren
ID:
11737
Filename:
Matrices
Updated:
2010-03-23 16:20:29
Tags:
Geometry
Folders:

Description:
Matrices for transformations
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  1. Rx=
    • [1 0]
    • [0 -1]
    • (x',y') - (x, -y)
  2. Ry=
    • [-1 0]
    • [ 0 1]
    • (x', y') -- (-x, y)
  3. Ry= -x=
    • [0 -1]
    • [-1 0]
    • (x', y') -- (-y, -x)
  4. R0,90=
    • [0 -1]
    • [1 0]
    • (x', y') -- (-y,x)
  5. Ro, 180
    • [-1 0]
    • [0 -1]
    • (x', y') -- (-x, -y)
  6. Ro, 270
    • [ 0 1]
    • [-1 0]
    • (x', y') -- (y, -x)
  7. Rotations
    If P isn't the center then PO = P'O and m< POP' = angle of rotation
  8. A ______ can be expressed as a composition of 2 reflections over 2 parallel lines
    Translation
  9. A _______ can be expressed a a composition of 2 relections over 2 intersecting lines
    Rotation
  10. Line Symmetry
    there exists a line k such that Rk maps the figure onto itself
  11. Point Symmetry
    there exists a point O such that Ho maps the figure onto itself
  12. Translational symmetry
    there exists a translation that maps a figure onto itself

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