Question

from unit 1, lesson 6 the point (-4, 1) is rotated 180° counterclockwise using center (0, 0). what are the coordinates of the image? a (-1, -4) b (-1, 4) c (4, 1) d (4, -1)

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180 - degrees counter - clockwise about the origin $(0,0)$, the transformation rule is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

Given the point $(-4,1)$, where $x = - 4$ and $y = 1$. After applying the rule: $-x=-(-4)=4$ and $-y=-1$. So the new coordinates are $(4,-1)$.

Answer:

D. $(4,-1)$