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The vertices of a rectangle are R(-5, -5), S(-1, -5), T(-1, 1), and U(-5, 1). After translation, R' is the point (-9, 1). Find the translation rule and
coordinates of U'.
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Answer :

mhanifa

Answer:

  • Transformation rule: (x, y) → (x - 4, y + 6),
  • Coordinates of U' = ( - 9, 7).

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Compare the coordinates of R and R' to find the transformation rule:

  • R(- 5, - 5) → R'(- 9, 1)

Change in x:

  • -9 - (-5) = - 4

Change in y:

  • 1 - (-5) = 6

The rule is:

  • (x, y) → (x - 4, y + 6)

Apply this rule to U to find the coordinates of U':

  • U(-5, 1) → U'(-5 - 4, 1 + 6) = U'(-9, 7)

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