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Determine the coordinates ​

Determine the coordinates ​-example-1

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Answer:

Thus, the rule of a point P(x, y) reflected over the line y = -x

P(x, y) → P'(-y, -x)

we conclude that:

  • A(3, 4) → A'(-4, -3)
  • B(3, 2) → B'(-2, -3)
  • C(-1, 2) → C'(-2, 3)

Explanation:

We know that If a point P(x, y) is reflected over the line y = -x, the x-coordinate and y-coordinate tend to change places and the signs are reverses.

Thus, the rule of a point P(x, y) reflected over the line y = -x

P(x, y) → P'(-y, -x)

Thus, we conclude that:

  • A(3, 4) → A'(-4, -3)
  • B(3, 2) → B'(-2, -3)
  • C(-1, 2) → C'(-2, 3)
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