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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)
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Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the new coordinates of point A (A'), we need to rotate it 90° counterclockwise. The formula for rotating a point (x, y) counterclockwise is:

(x', y') = (-y, x)

Plugging in the original coordinates of A (4, 1), we get:

(x', y') = (-1, 4)

So, point A' has coordinates (-1, 4). Comparing this to the plotted points, we can see that point H represents A' after the rotation. Therefore, the answer is H.

anonymous anonymous answered
5 months ago

so whats the answer

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