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Suatu segitiga KLM dengan titik K(4, 3), L(-1, 2), M(3, 5) dirotasikan sejauh 18 0 ∘ dengan pusat rotasi (2, 2). Bayangan ketiga titik tersebut berturut-turut adalah....

Suatu segitiga KLM dengan titik K(4, 3), L(-1, 2), M(3, 5) dirotasikan sejauh dengan pusat rotasi (2, 2). Bayangan ketiga titik tersebut berturut-turut adalah....

  1. (-4, -3), (1, -2), (-3, -5)

  2. (-3, -4), (-2, 1), (-5, -3)

  3. (3, 4), (2, -1), (5, 3)

  4. (0, 1), (5, 2), (1, -1))

  5. (1, -1), (2, -5), (-1, 1)

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

R o t a s i space t i t i k space left parenthesis x comma space y 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 left parenthesis h comma space k right parenthesis  open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell cos invisible function application 180 to the power of o end cell cell negative sin invisible function application 180 to the power of o end cell row cell sin invisible function application 180 to the power of o end cell cell cos invisible function application 180 to the power of o 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  M a k a space r o t a s i space t i t i k space K left parenthesis 4 comma space 3 right parenthesis comma space L left parenthesis negative 1 comma space 2 right parenthesis comma space M left parenthesis 3 comma space 5 right parenthesis space d e n g a n space p u s a t space left parenthesis 2 comma space 2 right parenthesis space colon  K to the power of apostrophe 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 4 minus 2 end cell row cell 3 minus 2 end cell end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  K to the power of apostrophe 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 2 row 1 end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  K to the power of apostrophe equals open parentheses table row cell negative 2 end cell row cell negative 1 end cell end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  K to the power of apostrophe equals open parentheses table row 0 row 1 end table close parentheses    L to the power of apostrophe 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 1 minus 2 end cell row cell 2 minus 2 end cell end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  L to the power of apostrophe 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 0 end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  L to the power of apostrophe equals open parentheses table row 3 row 0 end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  L to the power of apostrophe equals open parentheses table row 5 row 2 end table close parentheses    M to the power of apostrophe 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 3 minus 2 end cell row cell 5 minus 2 end cell end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  M to the power of apostrophe 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 1 row 3 end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  M to the power of apostrophe equals open parentheses table row cell negative 1 end cell row cell negative 3 end cell end table close parentheses plus open parentheses table row 2 row 2 end table close parentheses  M to the power of apostrophe equals open parentheses table row 1 row cell negative 1 end cell end table close parentheses

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