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Rótate 90 clockwise the triangle made up of points (-10,11), (2,3) and (4,-5) about (-3,-2). A. (-11, 10), (3, 2), (-5, 4)

B. (-11, -10), (-3, -2), (-5, -4)
C. (11, -10), (3, -2), (5, -4)
D. (11, 10), (3, 2), (5, 4)

1 Answer

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Final answer:

To rotate a triangle 90 degrees clockwise about a point, you can use translation and rotation formulas.

Step-by-step explanation:

To rotate a triangle 90 degrees clockwise about a point, you can use the following steps:

  1. Translate the triangle so that the desired center of rotation is at the origin.
  2. Perform the rotation by substituting the new coordinates into the rotation formula:

x' = x * cos(θ) - y * sin(θ)

y' = x * sin(θ) + y * cos(θ)

Translate the triangle back to its original position.

Applying these steps to the triangle with points (-10,11), (2,3), and (4,-5) about the center (-3,-2), we get the new coordinates (11,10), (3,2), and (5,4).

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