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Pertanyaan

Segituga ABC dengan koordinat titik A(-1,2), B(6,-2), dan C(5,2). Segitiga tersebut dirotasi sejauh 18 0 0 dengan pusat (2,-1). Koorninat bayangan segitiga ABC adalah...

Segituga ABC dengan koordinat titik A(-1,2), B(6,-2), dan C(5,2). Segitiga tersebut dirotasi sejauh  dengan pusat (2,-1). Koorninat bayangan segitiga ABC adalah...

  1. A'(-4,5), B'(-2,0), C'(-1,-4)

  2. A'(5,-4), B'(2,0), C'(-1,-4)

  3. A'(5,-4), B'(-2,0), C'(-1,-4)

  4. A'(5,4), B'(0,-2), C'(-4,-1)

     

  5. A'(5,4), B'(2,0), C'(4,-1)

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

I n g a t space k e m b a l i colon  R o t a s i space t i t i k space left parenthesis x comma y right parenthesis space s e j a u h space alpha space d e n g a n space p u s a t space r o t a s i space left parenthesis a comma b right parenthesis colon  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos invisible function application alpha end cell cell negative sin invisible function application alpha end cell row cell sin invisible function application alpha end cell cell cos invisible function application alpha end cell end table close parentheses open parentheses table row cell x minus a end cell row cell y minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses  R o t a s i space t i t i k space A left parenthesis negative 1 comma 2 right parenthesis space s e j a u h space 180 degree space d e n g a n space p u s a t space r o t a s i space left parenthesis 2 comma negative 1 right parenthesis colon  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos invisible function application 180 degree end cell cell negative sin invisible function application 180 degree end cell row cell sin invisible function application 180 degree end cell cell cos invisible function application 180 degree end cell end table close parentheses open parentheses table row cell negative 1 minus 2 end cell row cell 2 plus 1 end cell end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals 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 3 end cell row 3 end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 3 row cell negative 3 end cell end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 5 row cell negative 4 end cell end table close parentheses  J a d i comma space A apostrophe left parenthesis 5 comma negative 4 right parenthesis  R o t a s i space t i t i k space B left parenthesis 6 comma negative 2 right parenthesis space s e j a u h space 180 degree space d e n g a n space p u s a t space r o t a s i space left parenthesis 2 comma negative 1 right parenthesis colon  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos invisible function application 180 degree end cell cell negative sin invisible function application 180 degree end cell row cell sin invisible function application 180 degree end cell cell cos invisible function application 180 degree end cell end table close parentheses open parentheses table row cell 6 minus 2 end cell row cell negative 2 plus 1 end cell end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals 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 4 row cell negative 1 end cell end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 4 end cell row 1 end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 2 end cell row 0 end table close parentheses  J a d i comma space B apostrophe left parenthesis negative 2.0 right parenthesis  R o t a s i space t i t i k space C left parenthesis 5 comma 2 right parenthesis space s e j a u h space 180 degree space d e n g a n space p u s a t space r o t a s i space left parenthesis 2 comma negative 1 right parenthesis colon  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos invisible function application 180 degree end cell cell negative sin invisible function application 180 degree end cell row cell sin invisible function application 180 degree end cell cell cos invisible function application 180 degree end cell end table close parentheses open parentheses table row cell 5 minus 2 end cell row cell 2 plus 1 end cell end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals 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 3 row 3 end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 3 end cell row cell negative 3 end cell end table close parentheses plus open parentheses table row 2 row cell negative 1 end cell end table close parentheses  open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 1 end cell row cell negative 4 end cell end table close parentheses  J a d i comma space C apostrophe left parenthesis negative 1 comma negative 4 right parenthesis

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