Pertanyaan

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

R. RGFLLIMA

Master Teacher

Jawaban terverifikasi

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

 

Iklan

Pertanyaan serupa

Titik A ( − 3 , 2 ) ditranslasikan oleh T = ( 4 , − 3 ) , lalu direfleksikan terhadap garis y = k menghasilkan titik A ′′ ( 1 , − 3 ) . Nilai k yang memenuhi adalah ....

Jawaban terverifikasi

Iklan

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia