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

(1 point)
Responses

(4,−2)
left parenthesis 4 comma negative 2 right parenthesis

(−4, 2)
left parenthesis negative 4 comma 2 right parenthesis

(−2,−4)
left parenthesis negative 2 comma negative 4 right parenthesis

(−4,−2)
left parenthesis negative 4 comma negative 2 right parenthesis

1 answer

To rotate a point counterclockwise by 90 degrees, we can use the following formula:

new_x = -old_y
new_y = old_x

Using this formula, we can find the new coordinates of point A.

new_x = -4
new_y = 2

Therefore, the new point after rotating the triangle 90 degrees counterclockwise is (-4, 2).