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Tentukan bayangan titik P(−5,2) oleh dilatasi: a. [O,3], b. [O,−1], c. [O,1].

Pertanyaan

Tentukan bayangan titik straight P open parentheses negative 5 comma 2 close parentheses oleh dilatasi:

a. open square brackets straight O comma 3 close square brackets comma

b. open square brackets straight O comma negative 1 close square brackets comma

c. open square brackets straight O comma 1 close square brackets. 

L. Sibuea

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

bayangan titik straight P open parentheses negative 5 comma 2 close parentheses oleh dilatasi open square brackets straight O comma 3 close square bracketsopen square brackets straight O comma negative 1 close square brackets dan open square brackets straight O comma 1 close square brackets secara berurutan adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses negative 15 comma 6 close parentheses comma end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses 5 comma negative 2 close parentheses end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses negative 5 comma 2 close parentheses. end cell end table

Pembahasan

Ingat kembali rumus dilatasi dengan pusat open parentheses 0 comma 0 close parentheses dan faktor dilatasi k berikut:

straight A open parentheses x comma y close parentheses space rightwards arrow with open square brackets straight O comma k close square brackets on top space straight A apostrophe open parentheses x apostrophe equals k x comma y apostrophe equals k y close parentheses

Dengan menggunakan rumus di atas, maka bayangan titik straight P open parentheses negative 5 comma 2 close parentheses adalah

a. open square brackets straight O comma 3 close square brackets

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P open parentheses negative 5 comma 2 close parentheses space rightwards arrow with open square brackets straight O comma 3 close square brackets on top space straight P apostrophe open parentheses x apostrophe equals k x comma y apostrophe equals k y close parentheses end cell row blank blank cell straight P open parentheses negative 5 comma 2 close parentheses space rightwards arrow with open square brackets straight O comma 3 close square brackets on top space straight P apostrophe open parentheses 3 times negative 5 comma 3 times 2 close parentheses end cell row blank blank cell space space space space space space space space space space space space space space space space space space space space space space space space space straight P apostrophe open parentheses negative 15 comma 6 close parentheses end cell end table

Sehingga, bayangan titik straight P open parentheses negative 5 comma 2 close parentheses oleh dilatasi open square brackets straight O comma 3 close square brackets adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses negative 15 comma 6 close parentheses. end cell end table 

b. open square brackets straight O comma negative 1 close square brackets

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P open parentheses negative 5 comma 2 close parentheses space rightwards arrow with open square brackets straight O comma negative 1 close square brackets on top space straight P apostrophe open parentheses x apostrophe equals k x comma y apostrophe equals k y close parentheses end cell row blank blank cell straight P open parentheses negative 5 comma 2 close parentheses space rightwards arrow with open square brackets straight O comma negative 1 close square brackets on top space straight P apostrophe open parentheses negative 1 times negative 5 comma negative 1 times 2 close parentheses end cell row blank blank cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight P apostrophe open parentheses 5 comma negative 2 close parentheses end cell end table

Sehingga, bayangan titik straight P open parentheses negative 5 comma 2 close parentheses oleh dilatasi open square brackets straight O comma negative 1 close square brackets adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses 5 comma negative 2 close parentheses. end cell end table

c. open square brackets straight O comma 1 close square brackets 

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P open parentheses negative 5 comma 2 close parentheses space rightwards arrow with open square brackets straight O comma 1 close square brackets on top space straight P apostrophe open parentheses x apostrophe equals k x comma y apostrophe equals k y close parentheses end cell row blank blank cell straight P open parentheses negative 5 comma 2 close parentheses space rightwards arrow with open square brackets straight O comma 1 close square brackets on top space straight P apostrophe open parentheses 1 times negative 5 comma 1 times 2 close parentheses end cell row blank blank cell space space space space space space space space space space space space space space space space space space space space space space space space space straight P apostrophe open parentheses negative 5 comma 2 close parentheses end cell end table

Sehingga, bayangan titik straight P open parentheses negative 5 comma 2 close parentheses oleh dilatasi open square brackets straight O comma 1 close square brackets adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses negative 5 comma 2 close parentheses. end cell end table

Dengan demikian, bayangan titik straight P open parentheses negative 5 comma 2 close parentheses oleh dilatasi open square brackets straight O comma 3 close square bracketsopen square brackets straight O comma negative 1 close square brackets dan open square brackets straight O comma 1 close square brackets secara berurutan adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses negative 15 comma 6 close parentheses comma end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses 5 comma negative 2 close parentheses end cell end table dan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight P apostrophe open parentheses negative 5 comma 2 close parentheses. end cell end table

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