RoboguruRoboguru
SD

Jika titik A(0,4) direfleksikan terhadap garis y=−33​​x−2, maka bayangannya adalah ....

Pertanyaan

Jika titik A(0,4) direfleksikan terhadap garis begin mathsize 14px style y equals negative fraction numerator square root of 3 over denominator 3 end fraction x minus 2 end style, maka bayangannya adalah ....

  1. begin mathsize 14px style A apostrophe open parentheses 3 square root of 3 comma negative 1 close parentheses end style  

  2. begin mathsize 14px style A apostrophe left parenthesis negative 3 square root of 3 comma negative 5 right parenthesis end style  

  3. begin mathsize 14px style A apostrophe open parentheses 3 square root of 3 comma 1 close parentheses end style  

  4. begin mathsize 14px style A apostrophe open parentheses 1 , 3 square root of 3 close parentheses end style  

  5. begin mathsize 14px style A apostrophe open parentheses negative 1 comma negative 3 square root of 3 close parentheses end style  

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan bahwa nilai m pada persamaan garis undefined, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell negative fraction numerator square root of 3 over denominator 3 end fraction end cell row cell tan invisible function application theta end cell equals cell negative fraction numerator square root of 3 over denominator 3 end fraction end cell row theta equals cell arctan invisible function application open parentheses negative fraction numerator square root of 3 over denominator 3 end fraction close parentheses end cell row theta equals cell 150 degree end cell end table end style

Sehingga matriks refleksi terhadap garis begin mathsize 14px style y equals square root of 3 x minus 2 end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses table row cell cos invisible function application 2 theta end cell cell sin invisible function application 2 theta end cell row cell sin invisible function application 2 theta end cell cell negative cos invisible function application 2 theta end cell end table close parentheses end cell equals cell open parentheses table row cell cos invisible function application 2 open parentheses 150 degree close parentheses end cell cell sin invisible function application 2 open parentheses 150 degree close parentheses end cell row cell sin invisible function application 2 open parentheses 150 degree close parentheses end cell cell negative cos invisible function application 2 open parentheses 150 degree close parentheses end cell end table close parentheses end cell row blank equals cell open parentheses table row cell cos invisible function application 300 degree end cell cell sin invisible function application 300 degree end cell row cell sin invisible function application 300 degree end cell cell negative cos invisible function application 300 degree end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 1 half end cell cell negative 1 half square root of 3 end cell row cell negative 1 half square root of 3 end cell cell negative 1 half end cell end table close parentheses end cell end table end style

Maka, bayangan titik A(0,4) jika direfleksikan terhadap garis undefined adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses end cell equals cell open parentheses table row cell 1 half end cell cell negative 1 half square root of 3 end cell row cell negative 1 half square root of 3 end cell cell negative 1 half end cell end table close parentheses open parentheses table row 0 row cell 4 minus open parentheses negative 2 close parentheses end cell end table close parentheses plus open parentheses table row 0 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 1 half end cell cell negative 1 half square root of 3 end cell row cell negative 1 half square root of 3 end cell cell negative 1 half end cell end table close parentheses open parentheses table row 0 row 6 end table close parentheses plus open parentheses table row 0 row cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 1 half open parentheses 0 close parentheses minus 1 half square root of 3 open parentheses 6 close parentheses end cell row cell negative 1 half square root of 3 open parentheses 0 close parentheses minus 1 half open parentheses 6 close parentheses end cell end table close parentheses plus open parentheses table row 0 row cell negative 2 end cell end table close parentheses end cell row blank equals cell left parenthesis table row cell 0 minus 3 square root of 3 plus 0 end cell row cell 0 minus 3 minus 2 end cell end table right parenthesis end cell row blank equals cell open parentheses table row cell negative 3 square root of 3 end cell row cell negative 5 end cell end table close parentheses end cell end table end style

Dengan demikian, bayangannya adalah  begin mathsize 14px style A apostrophe left parenthesis negative 3 square root of 3 comma negative 5 right parenthesis end style.

Jadi, jawaban yang tepat adalah B.

11

0.0 (0 rating)

Pertanyaan serupa

Jika titik A(2,-4) direfleksikan terhadap garis y=3​x+2, maka bayangannya adalah ....

113

0.0

Jawaban terverifikasi

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

Produk Lainnya

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