Matematika

Pertanyaan

Persamaan bayangan garis 2x + 3y - 5=0 oleh refleksi trhadap garis x=3 dilanjutkan translasi (-4,-2)adalah

1 Jawaban

  • 2x + 3y - 5 = 0
    refleksi thd x = 3
    x' = 2.3 - x = 6 - x
    x = 6 - x'

    y' = y
    Bayangan :
    2x + 3y - 5 = 0
    2(6 - x') + 3y' - 5 = 0
    -2x + 3y + 7 = 0 ✔

    translasi thd (-4,-2)
    x' = x + (-4)
    x = x' + 4

    y' = y + (-2)
    y = y' + 2

    Bayangan akhir
    -2x + 3y + 7 = 0
    -2(x' + 4) + 3(y' + 2) + 7 = 0
    -2x + 3y + 5 = 0 ✔

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