Matematika

Pertanyaan

Bayangan segitigan ABC dengan A(-1,4), B(2,5) dan C(-4,0) jiak direflesikan terhadap garis y=x adalah

1 Jawaban

  • Bayangan A
    = [tex] \left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}-1\\4\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc}0+4\\-1+0\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc}4\\-1\end{array}\right] [/tex]

    Bayangan B
    = [tex] \left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}2\\5\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc}0+5\\2+0\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc}5\\2\end{array}\right] [/tex]

    Bayangan C
    = [tex] \left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}-4\\0\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc}0\\-4+0\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc}0\\-4\end{array}\right] [/tex]

    Sehingga bayangannya adalah A'(4,-1), B'(5,2), dan C'(0,-4)

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