Use the image to answer the question.
A coordinate plane with 4 quadrants ranges from negative 7 to 7 in unit increments on both the x and y axes. Eight points are plotted and labeled from upper A to upper H. The plotted points are as follows: In quadrant 1, point upper H is shown at 1 increment on the x-axis and 4 increments on the y-axis. Point upper A is shown at 4 increments on the x-axis and 1 increment on the y-axis. In quadrant 2, point upper G is shown at negative 1 increment on the x-axis and 4 increments on the y-axis. Point upper F is shown at negative 4 increments on the x-axis and 1 increment on the y-axis. In quadrant 3, point upper E is shown at negative 4 increments on the x-axis and negative 1 increment on the y-axis. Point upper D is shown at negative 1 increment on the x-axis and negative 4 increments on the y-axis. In quadrant 4, point upper C is shown at 1 increment on the x-axis and negative 4 increments on the y-axis. Point upper B is shown at 4 points on the x-axis and negative 1 increment on the y-axis.
Point A is the original point before rotating. Which point represents A′ after A(4, 1) is rotated 90° counterclockwise: B , C , D , E , F , G , or H ?
(1 point)
To rotate a point counterclockwise around the origin by 90°, we swap the x and y coordinates and change the sign of the new y-coordinate.
The coordinates of point A (4, 1) become (1, -4) after rotation.
Therefore, point A' after rotating 90° counterclockwise is represented by point C (1 increment on the x-axis and -4 increments on the y-axis).