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Titik G(a + 2, -b) ditranslasi ( − 2 4 ​ ) dilanjutkan refleksi terhadap garis= -5 diperoleh bayangan akhir G"(2, -10). Nilai a- b = ...

Titik G(a + 2, -b) ditranslasi  dilanjutkan refleksi terhadap garis = -5 diperoleh bayangan akhir G"(2, -10). Nilai a- b = ...

  1. -4

  2. -2

  3. 2

  4. 4

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R. RGFLLIMA

Master Teacher

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Pembahasan

Jika titik G ditranslasi dilanjutkan refleksi terhadap garis y = -5, maka diperoleh bayangan akhir G", dituliskan • -10 = 2(-5)- (-b + 4) -10=-10+b-4 -10=-14+b b= -10+14 b =4 Jadi, nilai a- b = 2-4 = -2

Jika titik G ditranslasi open parentheses table row cell negative 2 end cell row 4 end table close parentheses dilanjutkan refleksi terhadap garis y = -5, maka diperoleh bayangan akhir G", dituliskan

begin mathsize 14px style space space space space space space space space space space space straight G rightwards arrow with straight T equals open parentheses table row cell negative 2 end cell row 4 end table close parentheses on top straight G apostrophe rightwards arrow with straight M subscript straight y equals space minus 5 end subscript on top straight G apostrophe apostrophe  left parenthesis 1 right parenthesis space space space straight G left parenthesis straight x comma straight y right parenthesis rightwards arrow with straight T equals open parentheses table row cell negative 2 end cell row 4 end table close parentheses on top straight G apostrophe left parenthesis straight x apostrophe comma space straight y apostrophe right parenthesis  space space space space space space space straight x apostrophe space equals space left parenthesis straight a space plus space 2 right parenthesis space plus space left parenthesis negative 2 right parenthesis space equals straight a space  space space space space space space space straight y apostrophe space equals space minus straight b space plus space 4 space  space space space space space space space Jadi comma space straight G apostrophe space left parenthesis straight a comma space minus straight b space plus space 4 right parenthesis  left parenthesis 2 right parenthesis space space straight G apostrophe left parenthesis straight a comma negative straight b plus 4 right parenthesis rightwards arrow with straight M subscript straight y equals space minus 5 end subscript on top straight G apostrophe apostrophe left parenthesis 2 comma space minus 10 right parenthesis  space space space space space space space straight a equals 2  end style

• -10 = 2(-5)- (-b + 4)
  -10=-10+b-4
  -10=-14+b
  b= -10+14
  b =4

Jadi, nilai a- b = 2-4 = -2

 

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