Tentukan Koordinat Bayangan dari Titik-titik Berikut!

Tentukan koordinat bayangan dari titik-titik berikut!

a. $A(8,-5)$ oleh translasi $T=\left(\begin{array}{c}-3\\ -4\end{array}\right)$

Jawab

rumus translasi $\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}x\\ y\end{array}\right)+\left(\begin{array}{c}a\\ b\end{array}\right)$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}8\\ -5\end{array}\right)+\left(\begin{array}{c}-3\\ -4\end{array}\right)$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}5\\ -9\end{array}\right)$

Jadi, koordinat bayangan titik A adalah $A^{\prime }(5,-9)$

b. $B(-7,4)$ oleh translasi $T=\left(\begin{array}{c}2\\ 3\end{array}\right)$

Jawab

rumus translasi $\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}x\\ y\end{array}\right)+\left(\begin{array}{c}a\\ b\end{array}\right)$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}-7\\ 4\end{array}\right)+\left(\begin{array}{c}2\\ 3\end{array}\right)$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}-5\\ 7\end{array}\right)$

Jadi, koordinat bayangan titik B adalah $B^{\prime }(-5,7)$

c. $C(3,2)$ oleh translasi $T=\left(\begin{array}{c}-6\\ 5\end{array}\right)$

rumus translasi $\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}x\\ y\end{array}\right)+\left(\begin{array}{c}a\\ b\end{array}\right)$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}3\\ 2\end{array}\right)+\left(\begin{array}{c}-6\\ 5\end{array}\right)$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}-3\\ 7\end{array}\right)$

Jadi, koordinat bayangan titik C adalah $C^{\prime }(-3,7)$

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif