To rotate a point (x, y) 90 degrees counterclockwise, we switch the x and y values and negate the new x value. Thus, for point A (2, 4), the new coordinates after rotating 90 degrees counterclockwise would be (-4, 2).
Therefore, the correct answer is (−4, 2).
Use 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
(−4,−2)
(−2,−4)
(−4, 2)
(4,−2)
1 answer