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​​ Translasi T 1 ​ = ( p q ​ ) memetakan titik A ( 1 , 2 ) ke titik A ( 4 , 6 ) . a. Tentukan translasi tersebut! b. Tentukan bayangan segitiga ABC dengan titik sudut A ( 1 , 2 ) , B ( 3 , 4 ) dan C ( 5 , 6 ) oleh translasi tersebut! c. Jika segitiga yang diperoleh pada jawaban b ditranslasikan lagi dengan T 2 ​ = ( − 1 − 1 ​ ) , tentukan bayangannya! d. Translasikan segitiga ABC dengan translasi dan . Samakah jawabannya dengan jawaban c?

​​Translasi  memetakan titik  ke titik . 

a. Tentukan translasi tersebut!

b. Tentukan bayangan segitiga ABC dengan titik sudut ,  dan  oleh translasi tersebut!

c. Jika segitiga yang diperoleh pada jawaban b ditranslasikan lagi dengan , tentukan bayangannya!

d. Translasikan segitiga ABC dengan translasi begin mathsize 14px style straight T subscript 2 equals open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses end style dan begin mathsize 14px style straight T subscript 1 equals open parentheses table row p row q end table close parentheses end style. Samakah jawabannya dengan jawaban c?

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a. Jadi tranlasi b. c. d. Jawabannya sama dengan jawaban C

a.

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell A left parenthesis 1 comma space 2 right parenthesis rightwards arrow with T subscript 1 open parentheses table row p row q end table close parentheses on top A apostrophe left parenthesis 4 comma space 6 right parenthesis end cell row cell open parentheses table row 4 row 6 end table close parentheses end cell equals cell open parentheses table row cell 1 plus p end cell row cell 2 plus q end cell end table close parentheses end cell row blank rightwards double arrow cell 4 equals 1 plus p end cell row p equals 3 row blank rightwards double arrow cell 6 equals 2 plus q end cell row q equals 4 end table end style

Jadi tranlasi begin mathsize 14px style T subscript 1 equals open parentheses table row 3 row 4 end table close parentheses end style

b.

  begin mathsize 14px style A left parenthesis 1 comma space 2 right parenthesis rightwards arrow with T subscript 1 open parentheses table row 3 row 4 end table close parentheses on top A apostrophe left parenthesis x apostrophe comma y apostrophe right parenthesis A apostrophe equals open parentheses table row cell 1 plus 3 end cell row cell 4 plus 2 end cell end table close parentheses equals open parentheses table row 4 row 6 end table close parentheses  B left parenthesis 3 comma space 4 right parenthesis rightwards arrow with T subscript 1 open parentheses table row 3 row 4 end table close parentheses on top B apostrophe left parenthesis x apostrophe comma y apostrophe right parenthesis B apostrophe equals open parentheses table row cell 3 plus 3 end cell row cell 4 plus 4 end cell end table close parentheses equals open parentheses table row 6 row 8 end table close parentheses C left parenthesis 5 comma space 6 right parenthesis rightwards arrow with T subscript 1 open parentheses table row 3 row 4 end table close parentheses on top C apostrophe left parenthesis x apostrophe comma y apostrophe right parenthesis C apostrophe equals open parentheses table row cell 5 plus 3 end cell row cell 6 plus 4 end cell end table close parentheses equals open parentheses table row 8 row 10 end table close parentheses end style

c.

 begin mathsize 14px style A apostrophe left parenthesis 4 comma space 6 right parenthesis rightwards arrow with T subscript 1 open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses on top A " left parenthesis x " comma space y " right parenthesis A " equals open parentheses table row cell 4 plus left parenthesis negative 1 right parenthesis end cell row cell 6 plus left parenthesis negative 1 right parenthesis end cell end table close parentheses equals open parentheses table row 3 row 5 end table close parentheses B apostrophe left parenthesis 6 comma space 8 right parenthesis rightwards arrow with T subscript 1 open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses on top B " left parenthesis x " comma space y " right parenthesis B " equals open parentheses table row cell 6 plus left parenthesis negative 1 right parenthesis end cell row cell 8 plus left parenthesis negative 1 right parenthesis end cell end table close parentheses equals open parentheses table row 5 row 7 end table close parentheses C apostrophe left parenthesis 8 comma space 10 right parenthesis rightwards arrow with T subscript 1 open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses on top C " left parenthesis x " comma y " right parenthesis C " equals open parentheses table row cell 8 plus left parenthesis negative 1 right parenthesis end cell row cell 10 plus left parenthesis negative 1 right parenthesis end cell end table close parentheses equals open parentheses table row 7 row 9 end table close parentheses end style    

d. 

begin mathsize 14px style A left parenthesis 1 comma space 2 right parenthesis rightwards arrow with T subscript 2 open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses on top A apostrophe left parenthesis x apostrophe comma space y apostrophe right parenthesis rightwards arrow with T subscript 1 open parentheses table row 3 row 4 end table close parentheses on top A " left parenthesis x " comma space y " right parenthesis A apostrophe equals open parentheses table row cell 1 plus left parenthesis negative 1 right parenthesis end cell row cell 2 plus left parenthesis negative 1 right parenthesis end cell end table close parentheses equals open parentheses table row 0 row 1 end table close parentheses A " equals open parentheses table row cell 0 plus 3 end cell row cell 1 plus 4 end cell end table close parentheses equals open parentheses table row 3 row 5 end table close parentheses B left parenthesis 3 comma space 4 right parenthesis rightwards arrow with T subscript 2 open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses on top B apostrophe left parenthesis x apostrophe comma space y apostrophe right parenthesis rightwards arrow with T subscript 1 open parentheses table row 3 row 4 end table close parentheses on top B " left parenthesis x " comma space y " right parenthesis B apostrophe equals open parentheses table row cell 3 plus left parenthesis negative 1 right parenthesis end cell row cell 4 plus left parenthesis negative 1 right parenthesis end cell end table close parentheses equals open parentheses table row 2 row 3 end table close parentheses B " equals open parentheses table row cell 2 plus 3 end cell row cell 3 plus 4 end cell end table close parentheses equals open parentheses table row 5 row 7 end table close parentheses C left parenthesis 5 comma space 6 right parenthesis rightwards arrow with T subscript 2 open parentheses table row cell negative 1 end cell row cell negative 1 end cell end table close parentheses on top C apostrophe left parenthesis x apostrophe comma space y apostrophe right parenthesis rightwards arrow with T subscript 1 open parentheses table row 3 row 4 end table close parentheses on top C " left parenthesis x " comma space y " right parenthesis C apostrophe equals open parentheses table row cell 5 plus left parenthesis negative 1 right parenthesis end cell row cell 6 plus left parenthesis negative 1 right parenthesis end cell end table close parentheses equals open parentheses table row 4 row 5 end table close parentheses C " equals open parentheses table row cell 4 plus 3 end cell row cell 5 plus 4 end cell end table close parentheses equals open parentheses table row 7 row 9 end table close parentheses    end style 

Jawabannya sama dengan jawaban C

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Perhatikandiagram translasi berikut. A ( x , y ) T [ a b ​ ] ​ A ( x + a , y + b ) Berdasarkan diagram di atas, lengkapilah tabel berikut:

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