Diketahui titik . Tentukan bayangan titik A, B, da...

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 $begin mathsize 14px style y equals negative x end style$

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Jawaban:

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
$begin mathsize 14px style straight A open parentheses x comma y close parentheses rightwards arrow straight A apostrophe open parentheses negative straight x comma straight y close parentheses end style$
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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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