Given point A (2, 4) on the triangle Quadrant I, where is the new point if the triangle is rotated 270 degrees counterclockwise?
(1 point)
Responses
(4,−2)
left parenthesis 4 comma negative 2 right parenthesis
(−4,−2)
left parenthesis negative 4 comma negative 2 right parenthesis
(−4, 2)
left parenthesis negative 4 comma 2 right parenthesis
(−2,−4)
To rotate a point counterclockwise by 270 degrees, we can switch the x and y coordinates of the point and negate the new x coordinate.
Applying this to point A (2, 4), we get (-4, 2).
Therefore, the new point after rotating the triangle 270 degrees counterclockwise is (-4, 2).