Question

what is the rule for a 180 degree clockwise/counterclockwise rotation?
$(x,y)\to(-x,-y)$
$(x,y)\to(y,-x)$
$(x,y)\to(-y,x)$
$(x,y)\to(-y,-x)$
clear my selection

Explanation:

When a point \((x,y)\) is rotated \(180^{\circ}\) clockwise or counter - clockwise about the origin, the new coordinates are obtained by changing the signs of both the \(x\) and \(y\) values. This is because a \(180^{\circ}\) rotation flips the point across both the \(x\) - axis and \(y\) - axis.

Answer:

\((x,y)\to(-x, - y)\) (the first option)