What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin?
A(-5, 8)
B(-8, -5)
C(8, 5)
D(8, -5)
To rotate a point counterclockwise about the origin, you switch the coordinates and negate one of them.
So for the given point (5, 8), switching the coordinates will give us (8, 5), and then negating one of them will give us (8, -5).
Therefore, the new point after rotating 270 degrees counterclockwise about the origin is D(8, -5).
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?(1 point)
(4, 6)
(-4, 6)
(-6, 4)
(-6, -4)
To rotate a point clockwise about the origin, you switch the coordinates and negate one of them.
So for the given point (-4, -6), switching the coordinates will give us (-6, -4), and then negating one of them will give us (-6, 4).
Therefore, the new point after rotating clockwise about the origin 90 degrees is (-6, 4).