Question

a square has vertices at (2,2), (2,6), (6,6), and (6,2). what are the coordinates of the vertex (6,2) after a 180 - degree rotation?
a. (6, - 2)
b. (-6, - 2)
c. (-6,2)
d. (6,2)

Explanation:

Step1: Recall rotation rule

For a 180 - degree rotation about the origin, the rule is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

Given the point $(6,2)$, when we apply the 180 - degree rotation rule, $x = 6$ and $y = 2$. So $-x=-6$ and $-y = - 2$. The new point is $(-6,-2)$.

Answer:

B. $(-6,-2)$