Matematika

Pertanyaan

Titik (-5,9) di translasikan oleh T menjadi (2,-12). Tentukan bayangan titik p(-4,7) oleh translasi T!

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  • [tex] \left[\begin{array}{ccc}-5\\9\end{array}\right] -\ \textgreater \ translasi \left[\begin{array}{ccc}2\\-12\end{array}\right] [/tex]
    [tex]\left[\begin{array}{ccc}2\\-12\end{array}\right] =T + \left[\begin{array}{ccc}-5\\9\end{array}\right] [/tex]
    [tex]T = \left[\begin{array}{ccc}2\\-12\end{array}\right] - \left[\begin{array}{ccc}-5\\9\end{array}\right] = \left[\begin{array}{ccc}7\\-21\end{array}\right] [/tex]

    [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right] -\ \textgreater \ translasi\left[\begin{array}{ccc}x'\\y'\end{array}\right] [/tex]
    [tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = T + \left[\begin{array}{ccc}-4\\7\end{array}\right] [/tex]
    [tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}7\\-21\end{array}\right] + \left[\begin{array}{ccc}-4\\7\end{array}\right] = \left[\begin{array}{ccc}3\\-14\end{array}\right] [/tex]

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