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analytic Notation
| Term | Definition |
|---|---|
| Reflection in x-axis: (x, y) | (x,-y) keep x, negate y |
| Reflection in y-axis: (x, y) | (-x, y) keep y, negate x |
| Reflection in y = x: (x, y) | (y, x) Switch order |
| Reflection in y = -x: (x, y) | (-y, -x) switch & negate both |
| Reflection in the origin: (x, y) | (-x,~y) negate both (same as Rotation of 180° about the origin: (x, y) |
| • Rotation of 90° about the origin: (x, y) | (-Y, x) Switch + negate the |
| Translation by a units horizontally and b units vertically: (x, y) → | (x-a, y+b) (* left 'a' units) |