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Diketahui titik A(2,−1), B(5,3), dan C(−2,4). Tentukan bayangan titik A, B, dan C, jika dicerminkan terhadap: a. sumbu x b. sumbu y  c. garis x=2 d. garis y=−4  e. garis y=x  f. garis y=−x

Pertanyaan

Diketahui titik begin mathsize 14px style straight A open parentheses 2 comma negative 1 close parentheses comma space straight B open parentheses 5 comma 3 close parentheses comma space dan space straight C open parentheses negative 2 comma 4 close parentheses end style. Tentukan bayangan titik A, B, dan C, jika dicerminkan terhadap:
a. sumbu begin mathsize 14px style x end style
b. sumbu begin mathsize 14px style y end style 
c. garis begin mathsize 14px style x equals 2 end style
d. garis begin mathsize 14px style y equals negative 4 end style 
e. garis begin mathsize 14px style y equals x end style 
f. garis begin mathsize 14px style y equals negative x end style 

  1. undefined  

  2. undefined 

D. Entry

Master Teacher

Jawaban terverifikasi

Pembahasan

a. Hasil pencerminan terhadap sumbu x
   begin mathsize 14px style A open parentheses x comma y close parentheses rightwards arrow A apostrophe open parentheses x comma negative y close parentheses end style 
   begin mathsize 14px style straight A open parentheses 2 comma negative 1 close parentheses rightwards arrow straight A apostrophe open parentheses 2 comma 1 close parentheses straight B open parentheses 5 comma 3 close parentheses rightwards arrow straight B apostrophe open parentheses 5 comma negative 3 close parentheses straight C open parentheses negative 2 comma 4 close parentheses rightwards arrow straight C apostrophe open parentheses negative 2 comma negative 4 close parentheses end style  

b, Hasil pencerminan terhadap sumbu y
     begin mathsize 14px style straight A open parentheses x comma y close parentheses rightwards arrow straight A apostrophe open parentheses negative straight x comma straight y close parentheses end style 
     Error converting from MathML to accessible text. 

c. Hasil pencerminan terhadap garis begin mathsize 14px style x equals 2 end style 
    begin mathsize 14px style straight A open parentheses x comma y close parentheses rightwards arrow straight A apostrophe open parentheses 2 straight h minus straight x comma straight y close parentheses end style 
    begin mathsize 14px style straight A left parenthesis 2 comma negative 1 right parenthesis rightwards arrow straight A apostrophe left parenthesis 2 times 2 minus 2 comma negative 1 right parenthesis equals left parenthesis 2 comma negative 1 right parenthesis straight B left parenthesis 5 comma 3 right parenthesis rightwards arrow straight B apostrophe left parenthesis 2 times 2 minus 5 comma 3 right parenthesis equals left parenthesis negative 1 comma 3 right parenthesis straight C left parenthesis negative 2 comma 4 right parenthesis rightwards arrow straight C apostrophe left parenthesis 2 times 2 plus 2 comma 4 right parenthesis equals left parenthesis 6 comma 4 right parenthesis end style 

d. Hasil pencerminan terhadap garis begin mathsize 14px style y equals negative 4 end style
     begin mathsize 14px style straight A open parentheses straight x comma straight y close parentheses rightwards arrow straight A apostrophe open parentheses straight x comma space 2 straight k minus straight y close parentheses end style 
     begin mathsize 14px style straight A left parenthesis 2 comma negative 1 right parenthesis rightwards arrow straight A apostrophe left parenthesis 2 comma 2 times open parentheses negative 4 close parentheses plus 1 right parenthesis equals left parenthesis 2 comma negative 7 right parenthesis straight B left parenthesis 5 comma 3 right parenthesis rightwards arrow straight B apostrophe left parenthesis 5 comma 2 times open parentheses negative 4 close parentheses minus 3 right parenthesis equals left parenthesis 5 comma negative 11 right parenthesis straight C left parenthesis negative 2 comma 4 right parenthesis rightwards arrow straight C apostrophe left parenthesis negative 2 comma 2 times open parentheses negative 4 close parentheses minus 4 right parenthesis equals left parenthesis negative 2 comma negative 12 right parenthesis end style 

e. Hasil pencerminan terhadap garis begin mathsize 14px style y equals x end style 
      begin mathsize 14px style straight A open parentheses straight x comma straight y close parentheses rightwards arrow straight A apostrophe open parentheses straight y comma straight x close parentheses end style 
      begin mathsize 14px style straight A left parenthesis 2 comma negative 1 right parenthesis rightwards arrow straight A apostrophe left parenthesis negative 1 comma 2 right parenthesis straight B left parenthesis 5 comma 3 right parenthesis rightwards arrow straight B apostrophe left parenthesis 3 comma 5 right parenthesis straight C left parenthesis negative 2 comma 4 right parenthesis rightwards arrow straight C apostrophe left parenthesis 4 comma negative 2 right parenthesis end style 
f. Hasil pencerminan terhadap garis begin mathsize 14px style y equals negative x end style 
     begin mathsize 14px style straight A apostrophe open parentheses straight x comma straight y close parentheses rightwards arrow straight A apostrophe open parentheses negative straight y comma negative straight x close parentheses end style 
     begin mathsize 14px style straight A left parenthesis 2 comma negative 1 right parenthesis rightwards arrow straight A apostrophe left parenthesis 1 comma negative 2 right parenthesis straight B left parenthesis 5 comma 3 right parenthesis rightwards arrow straight B apostrophe left parenthesis negative 3 comma negative 5 right parenthesis straight C left parenthesis negative 2 comma 4 right parenthesis rightwards arrow straight C apostrophe left parenthesis negative 4 comma 2 right parenthesis end style 

    

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