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Diketahui translasi  memetakan titik  ke titik . Translasi  akan memetakan  ke titik ...

Pertanyaan

Diketahui translasi begin mathsize 14px style text T end text end style memetakan titik begin mathsize 14px style text B end text open parentheses negative 4 comma space 2 close parentheses end style ke titik begin mathsize 14px style text B' end text open parentheses negative 1 comma space 6 close parentheses end style. Translasi begin mathsize 14px style text T end text end style akan memetakan begin mathsize 14px style text C end text open parentheses 3 comma space minus 2 close parentheses end style ke titik ...

  1. begin mathsize 14px style text C' end text open parentheses 0 comma space minus 4 close parentheses end style

  2. begin mathsize 14px style text C' end text open parentheses 0 comma space minus 2 close parentheses end style

  3. Error converting from MathML to accessible text.

  4. Error converting from MathML to accessible text.

  5. Error converting from MathML to accessible text.

Pembahasan Soal:

Perhatikan perhitungan berikut ini.

Ingat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight A apostrophe end cell equals cell straight A plus straight T end cell 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 x row y end table close parentheses plus open parentheses table row a row b end table close parentheses end cell row blank equals cell open parentheses table row cell x plus a end cell row cell y plus b end cell end table close parentheses end cell end table end style

Diketahui translasi begin mathsize 14px style text T end text end style memetakan titik begin mathsize 14px style text B end text open parentheses negative 4 comma space 2 close parentheses end style ke titik begin mathsize 14px style text B' end text open parentheses negative 1 comma space 6 close parentheses end style. maka translasi begin mathsize 14px style text T end text end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight B apostrophe end cell equals cell straight B plus straight T end cell row cell open parentheses table row cell negative 1 end cell row 6 end table close parentheses end cell equals cell open parentheses table row cell negative 4 end cell row 2 end table close parentheses plus open parentheses table row a row b end table close parentheses end cell row cell open parentheses table row cell negative 1 end cell row 6 end table close parentheses minus open parentheses table row cell negative 4 end cell row 2 end table close parentheses end cell equals cell open parentheses table row a row b end table close parentheses end cell row cell open parentheses table row cell negative 1 minus open parentheses negative 4 close parentheses end cell row cell 6 minus 2 end cell end table close parentheses end cell equals cell open parentheses table row a row b end table close parentheses end cell row cell open parentheses table row cell negative 1 plus 4 end cell row 4 end table close parentheses end cell equals cell open parentheses table row a row b end table close parentheses end cell row cell open parentheses table row 3 row 4 end table close parentheses end cell equals cell open parentheses table row a row b end table close parentheses end cell end table end style

Didapatkan translasi begin mathsize 14px style text T end text end style adalah begin mathsize 14px style open parentheses table row 3 row 4 end table close parentheses end style sehingga translasi begin mathsize 14px style text T end text end style akan memetakan begin mathsize 14px style text C end text open parentheses 3 comma space minus 2 close parentheses end style ke titik:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight C apostrophe end cell equals cell straight C plus straight T end cell row blank equals cell open parentheses table row 3 row cell negative 2 end cell end table close parentheses plus open parentheses table row 3 row 4 end table close parentheses end cell row blank equals cell open parentheses table row cell 3 plus 3 end cell row cell negative 2 plus 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row 6 row 2 end table close parentheses end cell row blank blank blank end table end style

Jadi, koordinat titik begin mathsize 14px style straight C apostrophe end style adalah begin mathsize 14px style open parentheses 6 comma space 2 close parentheses end style.

Dengan demikian, jawaban yang tepat adalah E.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Maret 2021

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