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