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Find the coordinates of the vertices of the triangle if it's rotated 270°
counterclockwise.

Please help Find the coordinates of the vertices of the triangle if it's rotated 270° counterclockwise-example-1

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Answer:

D) X'(3, -1), Y'(2, -5), Z'(-1, -3)

Explanation:

From inspection of the given diagram, the vertices of the triangle are:

  • X = (1, 3)
  • Y = (5, 2)
  • Z = (3, -1)

Mapping rule for a rotation of 270° counterclockwise:

  • (x, y) → (y, -x)

Therefore, the vertices of the rotated triangle are:

  • X' = (3, -1)
  • Y' = (2, -5)
  • Z' = (-1, -3)
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