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Diketahui △ PQR dengan P ( − 1 , 2 ) , Q ( 3 , − 4 ) , dan R ( 5 , 6 ) . Bayangan titik-titik sudut oleh dilatasi dengan faktor skala 4 dan pusat ( 2 , 0 ) adalah ....

Diketahui  dengan , dan . Bayangan titik-titik sudut oleh dilatasi dengan faktor skala  dan pusat  adalah ....

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W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

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bayangan titik-titik adalah , dan .

bayangan titik-titik increment PQR adalah straight P apostrophe open parentheses negative 10 comma space 10 close parentheses comma space straight Q apostrophe open parentheses 6 comma space minus 14 close parentheses, dan straight R apostrophe open parentheses 14 comma space 26 close parentheses.

Pembahasan

Ingat kembali: Diketahui dengan , dan . Maka: - Titik - Titik - Titik Jadi, bayangan titik-titik adalah , dan .

Ingat kembali:

straight A open parentheses straight x comma straight y close parentheses space rightwards arrow with open square brackets open parentheses straight a comma straight b close parentheses comma space straight k close square brackets on top space straight A apostrophe open parentheses straight k open parentheses straight x minus straight a close parentheses plus straight a comma space straight k open parentheses straight y minus straight b close parentheses plus straight b close parentheses 

Diketahui increment PQR dengan straight P open parentheses negative 1 comma space 2 close parentheses comma space straight Q open parentheses 3 comma negative 4 close parentheses, dan straight R open parentheses 5 comma space 6 close parentheses. Maka:

- Titik straight P 

space space space space straight A open parentheses straight x comma straight y close parentheses space rightwards arrow with open square brackets open parentheses straight a comma straight b close parentheses comma space straight k close square brackets on top space straight A apostrophe open parentheses straight k open parentheses straight x minus straight a close parentheses plus straight a comma space straight k open parentheses straight y minus straight b close parentheses plus straight b close parentheses straight P open parentheses negative 1 comma 2 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight P apostrophe open parentheses 4 open parentheses negative 1 minus 2 close parentheses plus 2 comma space 4 open parentheses 2 minus 0 close parentheses plus 2 close parentheses straight P open parentheses negative 1 comma 2 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight P apostrophe open parentheses 4 open parentheses negative 3 close parentheses plus 2 comma space 4 open parentheses 2 close parentheses plus 2 close parentheses straight P open parentheses negative 1 comma 2 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight P apostrophe open parentheses negative 12 plus 2 comma space 8 plus 2 close parentheses straight P open parentheses negative 1 comma 2 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight P apostrophe open parentheses negative 10 comma space 10 close parentheses 

- Titik straight Q 

space space space space space space straight A open parentheses straight x comma straight y close parentheses space rightwards arrow with open square brackets open parentheses straight a comma straight b close parentheses comma space straight k close square brackets on top space straight A apostrophe open parentheses straight k open parentheses straight x minus straight a close parentheses plus straight a comma space straight k open parentheses straight y minus straight b close parentheses plus straight b close parentheses straight Q open parentheses 3 comma space minus 4 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight Q apostrophe open parentheses 4 open parentheses 3 minus 2 close parentheses plus 2 comma space 4 open parentheses negative 4 minus 0 close parentheses plus 2 close parentheses straight Q open parentheses 3 comma space minus 4 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight Q apostrophe open parentheses 4 open parentheses 1 close parentheses plus 2 comma space 4 open parentheses negative 4 close parentheses plus 2 close parentheses straight Q open parentheses 3 comma space minus 4 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight Q apostrophe open parentheses 4 plus 2 comma space minus 16 plus 2 close parentheses straight Q open parentheses 3 comma space minus 4 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight Q apostrophe open parentheses 6 comma space minus 14 close parentheses 

- Titik straight R 

space space space straight A open parentheses straight x comma straight y close parentheses space rightwards arrow with open square brackets open parentheses straight a comma straight b close parentheses comma space straight k close square brackets on top space straight A apostrophe open parentheses straight k open parentheses straight x minus straight a close parentheses plus straight a comma space straight k open parentheses straight y minus straight b close parentheses plus straight b close parentheses straight R open parentheses 5 comma space 6 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight R apostrophe open parentheses 4 open parentheses 5 minus 2 close parentheses plus 2 comma space 4 open parentheses 6 minus 0 close parentheses plus 2 close parentheses straight R open parentheses 5 comma space 6 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight R apostrophe open parentheses 4 open parentheses 3 close parentheses plus 2 comma space 4 open parentheses 6 close parentheses plus 2 close parentheses straight R open parentheses 5 comma space 6 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight R apostrophe open parentheses 12 plus 2 comma space 24 plus 2 close parentheses straight R open parentheses 5 comma space 6 close parentheses space rightwards arrow with open square brackets open parentheses 2 comma space 0 close parentheses comma space 4 close square brackets on top space straight R apostrophe open parentheses 14 comma space 26 close parentheses 

Jadi, bayangan titik-titik increment PQR adalah straight P apostrophe open parentheses negative 10 comma space 10 close parentheses comma space straight Q apostrophe open parentheses 6 comma space minus 14 close parentheses, dan straight R apostrophe open parentheses 14 comma space 26 close parentheses.

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