Refleksi Titik Menggunakan Matriks Transformasi

Refleksi Titik Menggunakan Matriks Transformasi#

Berikut adalah beberapa jenis transformasi refleksi beserta matriksnya dan contoh titik yang direfleksikan.

1. Refleksi terhadap sumbu-\(x\)#

\[\begin{split} \text{Matriks: } \begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \end{split}\]
\[\begin{split} \begin{aligned} A &= (2, 3) \Rightarrow A' = (2, -3) \\ B &= (-1, 4) \Rightarrow B' = (-1, -4) \end{aligned} \end{split}\]
from IPython.display import IFrame


url = "https://www.geogebra.org/calculator/pgpftyjk"  # Ganti dengan URL GeoGebra yang valid


IFrame(url, width=800, height=600)

2. Refleksi terhadap sumbu-\(y\)#

\[\begin{split} \text{Matriks: } \begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix} \end{split}\]
\[\begin{split} \begin{aligned} A &= (2, 3) \Rightarrow A' = (-2, 3) \\ B &= (-1, 4) \Rightarrow B' = (1, 4) \end{aligned} \end{split}\]
from IPython.display import IFrame


url = "https://www.geogebra.org/calculator/t5hnnkjz"  # Ganti dengan URL GeoGebra yang valid


IFrame(url, width=800, height=600)

3. Refleksi terhadap garis \(y = x\)#

\[\begin{split} \text{Matriks: } \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \end{split}\]
\[\begin{split} \begin{aligned} A &= (2, 3) \Rightarrow A' = (3, 2) \\ B &= (-1, 4) \Rightarrow B' = (4, -1) \end{aligned} \end{split}\]
from IPython.display import IFrame


url = "https://www.geogebra.org/calculator/xtfx88zp"  # Ganti dengan URL GeoGebra yang valid


IFrame(url, width=800, height=600)

4. Refleksi terhadap garis \(y = -x\)#

\[\begin{split} \text{Matriks: } \begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix} \end{split}\]
\[\begin{split} \begin{aligned} A &= (2, 3) \Rightarrow A' = (-3, -2) \\ B &= (-1, 4) \Rightarrow B' = (-4, 1) \end{aligned} \end{split}\]
from IPython.display import IFrame


url = "https://www.geogebra.org/calculator/qzbvcrhv"  # Ganti dengan URL GeoGebra yang valid


IFrame(url, width=800, height=600)

5. Refleksi terhadap titik asal (origin)#

\[\begin{split} \text{Matriks: } \begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix} \end{split}\]
\[\begin{split} \begin{aligned} A &= (2, 3) \Rightarrow A' = (-2, -3) \\ B &= (-1, 4) \Rightarrow B' = (1, -4) \end{aligned} \end{split}\]
from IPython.display import IFrame


url = "https://www.geogebra.org/calculator/qzbvcrhv"  # Ganti dengan URL GeoGebra yang valid


IFrame(url, width=800, height=600)
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