Question

If a point is located at (-3,3) and is rotated 90 degrees clockwise, what quadrant is the point now located?

A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV

Answer 1

When a point is rotated 90 degrees clockwise, its coordinates change as follows:

New X-coordinate = Old Y-coordinate

New Y-coordinate = -Old X-coordinate

In this case, the original point is (-3,3). When we rotate it 90 degrees clockwise, the new coordinates become (3,-3).

The new point (3,-3) is located in Quadrant III, where the x-coordinate is positive and the y-coordinate is negative. Therefore, the correct answer is C. quadrant III.