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Question
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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)
Remaining Attempts : 3
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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)
Remaining Attempts : 3
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Answers
GPT-4o mini
To find the coordinates of point A after it is rotated 90° counterclockwise, we start with the coordinates of point A which are (4, 1).
The formula to rotate a point (x, y) by 90° counterclockwise around the origin is given by the transformation:
- New x-coordinate = -y
- New y-coordinate = x
Applying this transformation to point A:
- New x = -1 (the original y-coordinate)
- New y = 4 (the original x-coordinate)
Thus, the coordinates of point A' after the rotation will be (-1, 4).
Now, looking at the points you mentioned:
- Point G is at (-1, 4)
Therefore, point G represents A' after the rotation.
So the answer is **G**.
The formula to rotate a point (x, y) by 90° counterclockwise around the origin is given by the transformation:
- New x-coordinate = -y
- New y-coordinate = x
Applying this transformation to point A:
- New x = -1 (the original y-coordinate)
- New y = 4 (the original x-coordinate)
Thus, the coordinates of point A' after the rotation will be (-1, 4).
Now, looking at the points you mentioned:
- Point G is at (-1, 4)
Therefore, point G represents A' after the rotation.
So the answer is **G**.