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

Question

(1 point)
Responses

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

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

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

(−2,−4)

Answer 1

To rotate a point counterclockwise, we can use the following formulas:

new_x = -y
new_y = x

Using these formulas, we can find the new coordinates of point A:

new_x = -4
new_y = 2

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