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

Question

(1 point)

(-2,-4)

(-4, 2)

(4,-2)

(-4,-2)

Answer 1

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 $(x^{\prime },y^{\prime })$ can be calculated as follows:

$$x^{\prime }=y$$ $$y^{\prime }=-x$$

For point A (2, 4):

1. $x^{\prime }=y=4$
2. $y^{\prime }=-x=-2$

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

Therefore, the answer is:

(4, -2)