Equations defining Plane Reflection/Examples
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Examples of Equations defining Plane Reflections
$x$-Axis
Let $\phi_x$ denote the reflection in the plane whose axis is the $x$-axis.
Let $P = \tuple {x, y}$ be an arbitrary point in the plane
Then:
- $\map {\phi_x} P = \tuple {x, -y}$
$y$-Axis
Let $\phi_y$ denote the reflection in the plane whose axis is the $y$-axis.
Let $P = \tuple {x, y}$ be an arbitrary point in the plane
Then:
- $\map {\phi_y} P = \tuple {-x, y}$