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Pertanyaan

Diberikan begin mathsize 14px style triangle ABC end style dengan titik-titik sudut begin mathsize 14px style A left parenthesis 4 comma 3 right parenthesis end stylebegin mathsize 14px style B left parenthesis 5 comma minus sign 2 right parenthesis end style, dan begin mathsize 14px style C left parenthesis minus sign 1 comma 6 right parenthesis end style. Jika undefined dirotasi oleh begin mathsize 14px style open square brackets straight P left parenthesis a comma b right parenthesis comma space straight R left parenthesis straight pi right parenthesis close square brackets end style diperoleh bayangan begin mathsize 14px style triangle straight A apostrophe straight B apostrophe straight C apostrophe end style dengan begin mathsize 14px style A apostrophe left parenthesis minus sign 2 comma 1 right parenthesis end stylebegin mathsize 14px style straight B apostrophe open parentheses x subscript B superscript apostrophe comma y subscript B superscript apostrophe close parentheses end style dan begin mathsize 14px style C apostrophe open parentheses x subscript C superscript apostrophe comma y subscript C superscript apostrophe close parentheses end style.
Tentukan:

b. koordinat titik begin mathsize 14px style B apostrophe end style dan begin mathsize 14px style C apostrophe end style.

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Pembahasan

  • Menentukan koordinat titik B apostrophe space dan italic space C italic apostrophe: dengan  open square brackets P left parenthesis 1 comma space 2 right parenthesis comma space R open parentheses straight pi close parentheses close square brackets:

Titik B apostrophe:

open parentheses table row cell x subscript B apostrophe end cell row cell y subscript B apostrophe end cell end table close parentheses equals open parentheses table row cell cos space straight pi end cell cell negative sin space straight pi end cell row cell sin space straight pi end cell cell cos space straight pi end cell end table close parentheses open parentheses table row cell x subscript B minus a end cell row cell y subscript B minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses open parentheses table row cell x subscript B apostrophe end cell row cell y subscript B 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 5 minus 1 end cell row cell negative 2 minus 2 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses open parentheses table row cell x subscript B apostrophe end cell row cell y subscript B 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 4 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses open parentheses table row cell x subscript B apostrophe end cell row cell y subscript B apostrophe end cell end table close parentheses equals open parentheses table row cell negative 4 end cell row 4 end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses open parentheses table row cell x subscript B apostrophe end cell row cell y subscript B apostrophe end cell end table close parentheses equals open parentheses table row cell negative 3 end cell row 6 end table close parentheses

Titik C apostrophe:

open parentheses table row cell x subscript C apostrophe end cell row cell y subscript C apostrophe end cell end table close parentheses equals open parentheses table row cell cos space straight pi end cell cell negative sin space straight pi end cell row cell sin space straight pi end cell cell cos space straight pi end cell end table close parentheses open parentheses table row cell x subscript C minus a end cell row cell y subscript C minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses open parentheses table row cell x subscript C apostrophe end cell row cell y subscript C 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 1 minus 1 end cell row cell 6 minus 2 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses open parentheses table row cell x subscript C apostrophe end cell row cell y subscript C 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 2 end cell row 4 end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses open parentheses table row cell x subscript C apostrophe end cell row cell y subscript C apostrophe end cell end table close parentheses equals open parentheses table row 2 row cell negative 4 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses open parentheses table row cell x subscript C apostrophe end cell row cell y subscript C apostrophe end cell end table close parentheses equals open parentheses table row 3 row cell negative 2 end cell end table close parentheses

Jadi, koordinat titik B apostrophe dan C apostrophe berturut-turut adalah B apostrophe open parentheses negative 3 comma space 6 close parentheses space dan space C apostrophe left parenthesis 3 comma space minus 2 right parenthesis.

 

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