Question

a figure is rotated 270° counterclockwise. what happens to its x - coordinate? a) it remains the same. b) it becomes negative. c) it becomes positive. d) it changes randomly.

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree counter - clockwise rotation of a point $(x,y)$ about the origin is $(x,y)\to(y, - x)$.

Step2: Analyze x - coordinate change

The original x - coordinate $x$ becomes $-x$ after the rotation. So the sign of the x - coordinate changes. If the original x - coordinate was positive, it becomes negative; if it was negative, it becomes positive.

Answer:

B) It becomes negative.