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Given point A (2, 4) on the triangle in Quadrant I, how would you describe the coordinates of the new point when the triangle is rotated 90 degrees clockwise?

(1 point)

Ο (-2,-4)

Ο (4,-2)

Ο (-4, 2)

Ο (-4,-2)

1 answer

To determine the coordinates of point A (2, 4) after a 90-degree clockwise rotation around the origin, we can use the transformation rules for rotation.

When a point \((x, y)\) is rotated 90 degrees clockwise, the new coordinates \((x', y')\) are given by the following transformation:

\[ (x', y') = (y, -x) \]

Applying this to point A (2, 4):

  • \(x' = y = 4\)
  • \(y' = -x = -2\)

So, after the rotation, the new coordinates will be (4, -2).

Therefore, the answer is:

Ο (4, -2)