Jika garis x – 2y – 2 = 0 dicerminkan terhadap garis y = x, maka akan diperoleh bayangan … , Select one:, a., -2x + y + 2 = 0, b., 2x – y + 2 = 0, c., 2x + y – 2 = 0, d., 2x + y + 2 = 0, e., -2x – y + 2 = 0

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Jika garis x – 2y – 2 = 0 dicerminkan terhadap garis y = x, maka akan diperoleh bayangan …


Select one:

a.

-2x + y + 2 = 0

b.

2x – y + 2 = 0

c.

2x + y – 2 = 0

d.

2x + y + 2 = 0

e.

-2x – y + 2 = 0​

Jawaban:

(b) \: 2x - y + 2 = 0

Penjelasan dengan langkah-langkah:

garis \: x - 2y - 2 = 0 \: dicerminkan \: terhadap \: garis \: y = x

y = x =  >  \binom{0 \: 1}{1 \: 0}

bayangan =  \binom{x {}^{1} }{y {}^{1} }  =  \binom{0 \: 1}{1 \: 0}  \binom{x}{y}  \\  =  \binom{x {}^{1} }{y {}^{1} }  =  \binom{y}{x}

x = y {}^{1}  \\ y = x {}^{1}

substitusi \: ke \\ x - 2y - 2 = 0 \\ y {}^{1}   - 2(x {}^{1} ) - 2 = 0 \\ y - 2x - 2 = 0 \\  - 2 + y - 2 = 0 \\ 2x - y + 2 = 0


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