Answer:
Point B must be at the same distance from the the origin as point A.
Step-by-step explanation:
Coordinates of point A = (3, 3)
When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)
Distance from origin to point A = [tex]\sqrt{(3)^{2}+(3)^2}=3\sqrt{2}[/tex]
Similarly, distance of point B from the origin = [tex]\sqrt{(3)^{2}+(3)^2}=3\sqrt{2}[/tex]
Therefore, distances of both the points from the origin are same.
Point B must be at the same distance from the the origin as point A.
