Question

a figure is rotated 180° clockwise. what happens to its y - coordinate? a) it remains the same. b) it moves over 2 quadrants c) it becomes positive. d) it changes randomly.

Explanation:

Step1: Recall rotation rules

When a figure is rotated 180 - degree clockwise about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-x,-y)$.

Step2: Analyze y - coordinate change

The y - coordinate of the point changes its sign. Also, moving 180 degrees clockwise means moving over 2 quadrants. For example, a point in the first quadrant will move to the third quadrant and vice - versa, and a point in the second quadrant will move to the fourth quadrant and vice - versa.

Answer:

B) It moves over 2 quadrants