Given a point on a line segment (-4,-6), what is the new point when the point is rotated clockwise about the origin 90 degrees.
To rotate a point about the origin 90 degrees clockwise, we swap the x-coordinate with the y-coordinate and then negate the new x-coordinate.
So, for the given point (-4,-6), the new x-coordinate would be -6 (swapping the x-coordinate and the y-coordinate) and the new y-coordinate would be 4 (negating the new x-coordinate).
Therefore, the new point when the given point is rotated clockwise about the origin 90 degrees is (-6,4).
Rotate the point (5,8) on a geometric figure 270 degrees clockwise. What is the new point?
To rotate a point (x, y) 270 degrees clockwise about the origin, we swap the x-coordinate with the negative y-coordinate and then negate both coordinates.
For the given point (5, 8), the new x-coordinate would be -8 (negative of the original y-coordinate) and the new y-coordinate would be 5 (swapping the x-coordinate and the negative y-coordinate).
Therefore, the new point when the given point is rotated 270 degrees clockwise about the origin is (-8, 5).
Rotate the point (-4,-6) on a geometric figure 90 degrees counterclockwise. What is the new point?
To rotate a point (-4, -6) 90 degrees counterclockwise, we swap the x-coordinate with the y-coordinate and then negate the new y-coordinate.
So, for the given point (-4, -6), the new x-coordinate would be -6 (switching the x-coordinate and the y-coordinate), and the new y-coordinate would be 4 (negating the new y-coordinate).
Therefore, the new point when the given point is rotated 90 degrees counterclockwise about the origin is (-6, 4).
Rotate the point (9,5) on a geometric figure 270 degrees clockwise. What is the new point?
To rotate a point (x, y) 270 degrees clockwise about the origin, we swap the x-coordinate with the negative y-coordinate and then negate both coordinates.
For the given point (9, 5), the new x-coordinate would be 5 (negative of the original y-coordinate) and the new y-coordinate would be -9 (negative of the original x-coordinate).
Therefore, the new point when the given point is rotated 270 degrees clockwise about the origin is (5, -9).