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Given point A(2,4) on the triangle in Quadrant I, where is the new point if the triangle is rotated 90 degrees counterclockwise?

A. (-4,-2)
B. (-4,2)
C. (-2,-4)
D. (4,-2)

1 answer

To rotate a point counterclockwise by 90 degrees, we switch the x-coordinate with the y-coordinate and multiply the new x-coordinate by -1.

So, the new x-coordinate is -4 and the new y-coordinate is 2.

Therefore, the new point is (-4,2).

The answer is B. (-4,2).