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Tentukan bayangan titik oleh refleksi terhadap garis dilanjutkan .

Tentukan bayangan titik begin mathsize 14px style open parentheses 6 comma space minus 4 close parentheses end style oleh refleksi terhadap garis begin mathsize 14px style y equals negative x end style dilanjutkan begin mathsize 14px style T equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses end style.

  1. horizontal ellipsis 

  2. horizontal ellipsis  

Jawaban:

Perhatikan refleksi terhadap garis begin mathsize 14px style y equals negative x end style berikut:

begin mathsize 14px style straight A left parenthesis straight x comma straight y right parenthesis rightwards arrow with refleksi space terhadap space garis space straight y equals negative straight x on top straight A apostrophe left parenthesis negative y comma negative x right parenthesis straight A left parenthesis 6 comma negative 4 right parenthesis rightwards arrow with refleksi space terhadap space garis space straight y equals negative straight x on top straight A apostrophe left parenthesis negative left parenthesis negative 4 right parenthesis comma negative 6 right parenthesis equals A apostrophe left parenthesis 4 comma negative 6 right parenthesis end style

Selanjutnya, translasi oleh begin mathsize 14px style T equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses end style,

begin mathsize 14px style straight A left parenthesis straight x comma straight y right parenthesis rightwards arrow with translasi space straight T equals open parentheses table row straight a row straight b end table close parentheses on top straight A apostrophe left parenthesis straight x plus straight a comma straight y plus straight b right parenthesis straight A apostrophe apostrophe left parenthesis 4 comma negative 6 right parenthesis rightwards arrow with translasi space straight T equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses on top space straight A apostrophe apostrophe apostrophe left parenthesis 4 plus left parenthesis negative 1 right parenthesis comma negative 6 plus 5 right parenthesis equals straight A apostrophe apostrophe apostrophe left parenthesis 3 comma negative 1 right parenthesis end style 

Jadi, diperoleh bayangan titik begin mathsize 14px style open parentheses 6 comma space minus 4 close parentheses end style oleh refleksi terhadap garis begin mathsize 14px style y equals negative x end style dilanjutkan begin mathsize 14px style T equals open parentheses table row cell negative 1 end cell row 5 end table close parentheses end style adalah begin mathsize 14px style left parenthesis 3 comma negative 1 right parenthesis end style.

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