Rotate the point (−4, −6) on a geometric figure 90 degrees counterclockwise. What is the new point?(1 point)
1.(6, 4)
2.(6, −4)
3.(−6, −4)
4.(−6, 4)
To rotate a point 90 degrees counterclockwise, we can switch the x and y coordinates and negate the new x coordinate.
Starting with the point (-4, -6):
Switching the x and y coordinates, we get (-6, -4).
Negating the new x coordinate, we get (6, -4).
So the new point is (6, -4).
The correct answer is 2. (6, -4)
To rotate a point 90 degrees counterclockwise, we can use the following formulas:
New x-coordinate = -y-coordinate
New y-coordinate = x-coordinate
Given the point (-4, -6), we can plug in the values:
New x-coordinate = -(-6) = 6
New y-coordinate = -4
Therefore, the new point after rotating 90 degrees counterclockwise is (6, -4).
So, the correct answer is option 2. (6, -4).