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Pertanyaan

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: c. [ B ( 1 , 6 ) , R ( − 18 0 ∘ ) ]

Lukiskan sketsa  dan bayangan  pada kertas berpetak, kemudian tuliskan koordinat titik bayangannya, jika titik-titik sudut undefined adalah , dan  dirotasi oleh:

c.  

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

sketsa dan bayangan di gambarkan seperti di atas.

 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. 2. 3. Di dapatkan titik-titik sudut bayangan , dan . Sketsa dan bayangan Jadi,sketsa dan bayangan di gambarkan seperti di atas.

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 open parentheses negative 180 close parentheses space end cell cell negative sin space open parentheses negative 180 close parentheses space end cell row cell sin space open parentheses negative 180 close parentheses space end cell cell cos space open parentheses negative 180 close parentheses space 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 cell cos space 180 space end cell cell sin space 180 end cell row cell negative sin space 180 end cell cell cos space 180 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 cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row cell 0 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 cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row cell negative 1 end cell 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 1 row 6 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 2 row 12 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 open parentheses negative 180 close parentheses space end cell cell negative sin space open parentheses negative 180 close parentheses space end cell row cell sin space open parentheses negative 180 close parentheses space end cell cell cos space open parentheses negative 180 close parentheses space 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 cell cos space 180 space end cell cell sin space 180 end cell row cell negative sin space 180 end cell cell cos space 180 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 cell negative 1 end cell 0 row 0 cell negative 1 end cell 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 cell negative 1 end cell 0 row 0 cell negative 1 end cell 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 cell negative 2 end cell row 6 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 cell negative 1 end cell row 12 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 open parentheses negative 180 close parentheses space end cell cell negative sin space open parentheses negative 180 close parentheses space end cell row cell sin space open parentheses negative 180 close parentheses space end cell cell cos space open parentheses negative 180 close parentheses space 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 cell cos space 180 space end cell cell sin space 180 end cell row cell negative sin space 180 end cell cell cos space 180 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 cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row cell 1 minus 1 end cell row cell 6 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 cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row 0 row 0 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 row 0 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 1 row 6 end table close parentheses end cell row blank blank blank end table

Di dapatkan titik-titik sudut bayangan straight O apostrophe left parenthesis 2 comma 12 right parenthesisstraight A apostrophe left parenthesis negative 1 comma 12 right parenthesis dan straight B apostrophe left parenthesis 1 comma 6 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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