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Given point A (2, 4) on the triangle Quadrant I, where is the new point if the triangle is rotated 270 degrees counterclockwise?

(1 point)

(-2,-4)

(-4, 2)

(4,-2)

(-4,-2)

1 answer

To find the new coordinates of point A (2, 4) after a 270-degree counterclockwise rotation, we can use the rotation transformation formula.

When a point \((x, y)\) is rotated by 270 degrees counterclockwise, the new coordinates \((x', y')\) can be calculated as follows:

\[ x' = y \] \[ y' = -x \]

For point A (2, 4):

  1. \(x' = y = 4\)
  2. \(y' = -x = -2\)

Thus, the new coordinates after rotation are (4, -2).

Therefore, the answer is:

(4, -2)