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Lukiskan sketsa △OAB dan bayangan △OAB pada kertas berpetak, kemudian tuliskan koordinat titik bayangannya, jika titik-titik sudut  adalah O(0,0), A(3,0), dan B(1,6) dirotasi oleh: b. [A(3,0), R(90∘)]

Pertanyaan

Lukiskan sketsa begin mathsize 14px style triangle OAB end style dan bayangan begin mathsize 14px style triangle OAB end style pada kertas berpetak, kemudian tuliskan koordinat titik bayangannya, jika titik-titik sudut undefined adalah begin mathsize 14px style O left parenthesis 0 comma 0 right parenthesis end stylebegin mathsize 14px style A left parenthesis 3 comma 0 right parenthesis end style, dan begin mathsize 14px style B left parenthesis 1 comma 6 right parenthesis end style dirotasi oleh:

b. begin mathsize 14px style open square brackets straight A left parenthesis 3 comma 0 right parenthesis comma space straight R left parenthesis 90 degree right parenthesis close square brackets end style  

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

  sketsa begin mathsize 14px style triangle OAB end style dan bayangan begin mathsize 14px style triangle OAB end style di gambarkan seperti di atas.

Pembahasan

1.  begin mathsize 14px style O left parenthesis 0 comma 0 right parenthesis end 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 cos space 90 space end cell cell negative sin space 90 end cell row cell sin 90 end cell cell cos space 90 end cell end table close parentheses open parentheses table row cell x minus h end cell row cell y minus k end cell end table close parentheses plus open parentheses table row h row k end table close parentheses 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 0 cell negative 1 end cell row 1 0 end table close parentheses open parentheses table row cell 0 minus 3 end cell row cell 0 minus 0 end cell end table close parentheses plus open parentheses table row 3 row 0 end table close parentheses end cell row blank equals cell open parentheses table row 0 cell negative 1 end cell row 1 0 end table close parentheses open parentheses table row cell negative 3 end cell row 0 end table close parentheses plus open parentheses table row 3 row 0 end table close parentheses end cell row blank equals cell open parentheses table row 0 row cell negative 3 end cell end table close parentheses plus open parentheses table row 3 row 0 end table close parentheses end cell row blank equals cell open parentheses table row 3 row cell negative 3 end cell end table close parentheses end cell row blank blank blank end table

2. straight A left parenthesis 3 comma 0 right parenthesis

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 cos space 90 space end cell cell negative sin space 90 end cell row cell sin 90 end cell cell cos space 90 end cell end table close parentheses open parentheses table row cell x minus h end cell row cell y minus k end cell end table close parentheses plus open parentheses table row h row k end table close parentheses 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 0 cell negative 1 end cell row 1 0 end table close parentheses open parentheses table row cell 3 minus 3 end cell row cell 0 minus 0 end cell end table close parentheses plus open parentheses table row 3 row 0 end table close parentheses end cell row blank equals cell open parentheses table row 0 cell negative 1 end cell row 1 0 end table close parentheses open parentheses table row 0 row 0 end table close parentheses plus open parentheses table row 3 row 0 end table close parentheses end cell row blank equals cell open parentheses table row 0 row 0 end table close parentheses plus open parentheses table row 3 row 0 end table close parentheses end cell row blank equals cell open parentheses table row 3 row 0 end table close parentheses end cell row blank blank blank end table

3.straight B left parenthesis 1 comma 6 right parenthesis

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 cos space 90 space end cell cell negative sin space 90 end cell row cell sin 90 end cell cell cos space 90 end cell end table close parentheses open parentheses table row cell x minus h end cell row cell y minus k end cell end table close parentheses plus open parentheses table row h row k end table close parentheses 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 0 cell negative 1 end cell row 1 0 end table close parentheses open parentheses table row cell 3 minus 1 end cell row cell 0 minus 6 end cell end table close parentheses plus open parentheses table row 1 row 6 end table close parentheses end cell row blank equals cell open parentheses table row 0 cell negative 1 end cell row 1 0 end table close parentheses open parentheses table row 2 row cell negative 6 end cell end table close parentheses plus open parentheses table row 1 row 6 end table close parentheses end cell row blank equals cell open parentheses table row 6 row 2 end table close parentheses plus open parentheses table row 1 row 6 end table close parentheses end cell row blank equals cell open parentheses table row 7 row 8 end table close parentheses end cell row blank blank blank end table

Di dapatkan straight O apostrophe left parenthesis 3 comma negative 3 right parenthesisstraight A apostrophe open parentheses 3 comma 0 close parentheses dan straight B apostrophe left parenthesis 7 comma 8 right parenthesis.

Sketsa begin mathsize 14px style triangle OAB end style dan bayangan begin mathsize 14px style triangle OAB end style


Jadi,  sketsa begin mathsize 14px style triangle OAB end style dan bayangan begin mathsize 14px style triangle OAB end style di gambarkan seperti di atas.

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