# Refleksi

## Konsep Dasar

 REFLEKSI MATRIKS REFLEKSI HASIL REFLEKSI Sumbu X $$\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}$$ $$\begin{pmatrix} x' \\ y' \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix}$$ Sumbu Y $$\begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix}$$ $$\begin{pmatrix} x' \\ y' \end{pmatrix} = \begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix}$$ Garis $$y = x$$ $$\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$$ $$\begin{pmatrix} x' \\ y' \end{pmatrix} = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix}$$ Garis $$y = -x$$ $$\begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix}$$ $$\begin{pmatrix} x' \\ y' \end{pmatrix} = \begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix}$$ Garis $$x = a$$ $$\begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix}$$ $$\begin{pmatrix} x' - a \\ y' \end{pmatrix} = \begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix} \begin{pmatrix} x - a \\ y \end{pmatrix}$$ Garis $$y = b$$ $$\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}$$ $$\begin{pmatrix} x' \\ y' - b \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \begin{pmatrix} x \\ y - b \end{pmatrix}$$ Titik $$(a,b)$$ $$\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}$$ $$\begin{pmatrix} x' - a \\ y' - b \end{pmatrix} = \begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix} \begin{pmatrix} x - a \\ y - b \end{pmatrix}$$ Garis $$y = mx + c$$ $$m = \tan \theta$$ $$\begin{pmatrix} \cos 2 \theta & \sin 2 \theta \\ \sin 2 \theta & -\cos 2 \theta \end{pmatrix}$$ $$\begin{pmatrix} x' \\ y' \end{pmatrix} = \begin{pmatrix} \cos 2 \theta & \sin 2 \theta \\ \sin 2 \theta & -\cos 2 \theta \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} + \dfrac cm \begin{pmatrix} -2 \sin^2 \theta \\ \sin 2 \theta \end{pmatrix}$$