Reflections and Rotations
Using this and combining trigonometry.
- Matrix for a clockwise rotation of \(\theta\) degrees:\(\begin{pmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta\end{pmatrix}\)
Invariant points and lines
- An invariant point is one that is unaffected by a transformation.
- An invariant line is when each point on the line transformed to give another point on the same line.