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Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x 6, y – 5) (x, y) → (x – 6, y 5) (x, y) → (x 8, y – 11) (x, y) → (x – 8, y 11)

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xero099

The rule used to translate the image is [tex](x,y) \to (x-8, y+11)[/tex].

In this question we are going to speak of point translations. Vectorially speaking, a translation between two points is defined by this expression:

[tex]L'(x,y) = L(x,y) + T(x,y)[/tex]  (1)

Where:

  • [tex]L(x,y)[/tex] - Original point.
  • [tex]T(x,y)[/tex] - Translation vector.
  • [tex]L'(x,y)[/tex] - Translated point.

If we know that [tex]L(x,y) = (7, -3)[/tex] and [tex]L'(x,y) = (-1, 8)[/tex], then the translation vector is:

[tex]T(x,y) = L'(x,y) - L(x,y)[/tex]

[tex]T(x,y) = (-1,8)-(7,-3)[/tex]

[tex]T(x,y) = (-8, 11)[/tex]

Therefore, the rule used to translate the image is [tex](x,y) \to (x-8, y+11)[/tex].

We kindly invite to see this question on translations: https://brainly.com/question/17485121

issebear

Answer:

D

Explanation:

Correct on edg

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