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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 answer

To rotate a point 90 degrees clockwise around the origin, you can use the transformation for the coordinates. If the original point is \((x, y)\), the new coordinates after a 90-degree clockwise rotation will be \((y, -x)\).

Given point \( A (2, 4) \):

  • \( x = 2 \)
  • \( y = 4 \)

Now applying the transformation:

  • New x-coordinate = \( y = 4 \)
  • New y-coordinate = \( -x = -2 \)

So the coordinates of the new point after rotating 90 degrees clockwise would be \( (4, -2) \).

Keep in mind that this new point \( (4, -2) \) is in Quadrant IV since the x-coordinate is positive and the y-coordinate is negative.