the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma 4 right parenthesis, B left parenthesis 6 comma 6 right parenthesis, and C left parenthesis 6 comma 2 right parenthesis.
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
(−2,−4)
left parenthesis negative 2 comma negative 4 right parenthesis
(4,−2)
left parenthesis 4 comma negative 2 right parenthesis
(−4, 2)
left parenthesis negative 4 comma 2 right parenthesis
(−4,−2)
left parenthesis negative 4 comma negative 2 right parenthesis
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To rotate a point 90 degrees counterclockwise, we can swap the x and y coordinates and negate the new y coordinate.
Given point A (2, 4), when we swap the coordinates, we get (4, 2). Negating the y-coordinate, we get (4, -2).
So, the new point after rotating the triangle 90 degrees counterclockwise is (4, -2).
(4, -2)