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Transformations
| Question | Answer |
|---|---|
| rx-axis | (x, -y) |
| ry-axis | (-x, y) |
| ry=x | (y,x) |
| ry=-x | (-y, -x) |
| RO, 180(x, y) | (-x, -y) |
| Translation | Ta,b (x,y) = (x+a, y+b) |
| RO, 90 (x,y)/RO, -270 | (-y, x) |
| RO, 180(x,y)/RO, -180 | (-x, -y) |
| RO, 270(x,y)/RO, -90 | (y, -x) |
| Dilations | DO,k (x,y) = (kx, ky) |
| Vector | Describes a distance and direction to move |
| Opposite Isometry | Same shape, size, angle measure stay the same. orientation reverses |
| Direct Isometry | Oritentitan stays the same, shape, size and angle measure stay the same |
| Rigid Motions | Size, shape, and angle measure is perserved |
| Invariant Points | A point that does not change position after transformation |
| Line of reflection | Perpendicular bisector between preimage and image |
| Scale factor | Image/preimage |
| LINE SYMMETRY | A figure has line symmetry when the figure is its own image under a line reflection. Such a line is called the axis of symmetry. |
| POINT SYMMETRY | A figure has point symmetry when the figure is its own image under a reflection in a point. Figures that have point symmetry also appear to look the same when turned upside-down. This, essentially, is a rotation of 180 degrees. |
| ROTATIONAL SYMMETRY | A figure has rotational symmetry if the figure is its own image under a rotation and the center of rotation is the only fixed point. |
| Identity Symmetry | Rotation of 360 degrees will always map a figure back on to itself. |
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