Tentukan bayangan garis apabila dicerminkan terhadap garis !

Pertanyaan

Tentukan bayangan garis $2 x minus y equals 5$ apabila dicerminkan terhadap garis $x equals negative 1$ !

Pembahasan Soal:

Ingat, pencerminan terhadap garis $space x space equals space h space colon space left parenthesis x apostrophe comma space y apostrophe right parenthesis space rightwards arrow space left parenthesis 2 h space minus x comma space y right parenthesis$ . Jika pada soal dicerminkan terhadap garis $x equals negative 1$ maka $h equals negative 1$

$table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis x apostrophe comma space y apostrophe right parenthesis space end cell rightwards arrow cell space left parenthesis 2 h space minus x comma space y right parenthesis end cell row cell x apostrophe end cell equals cell 2 h minus x end cell row cell x apostrophe end cell equals cell 2 left parenthesis negative 1 right parenthesis minus x end cell row cell x apostrophe end cell equals cell negative 2 minus x end cell row cell x apostrophe plus 2 end cell equals cell negative x end cell row cell negative x apostrophe minus 2 end cell equals x end table$

substitusi $x$ dan $y$ ke persamaan garis

$table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x minus y end cell equals 5 row cell 2 left parenthesis negative x apostrophe minus 2 right parenthesis minus y apostrophe end cell equals 5 row cell negative 2 x apostrophe minus 4 minus y apostrophe end cell equals 5 row cell negative 2 x apostrophe minus y apostrophe end cell equals 9 row cell 2 x apostrophe plus y apostrophe end cell equals cell negative 9 end cell end table$

Jadi, hasil pencerminan garis tersebut adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank y end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 9 end table$ .

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Juni 2021

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