Question

ing a rule for a rotation what rule describes the rotation about the origin? (x, y)→(-x, -y) how many degrees was the figure rotated about the origin? 90 180 270 360

Explanation:

Step1: Recall rotation rules

A rotation of 90 - degree counter - clockwise about the origin has the rule $(x,y)\to(-y,x)$, a 180 - degree rotation has the rule $(x,y)\to(-x,-y)$, a 270 - degree counter - clockwise rotation has the rule $(x,y)\to(y, - x)$ and a 360 - degree rotation has the rule $(x,y)\to(x,y)$.

Step2: Match the rule

The given rule is $(x,y)\to(-x,-y)$, which corresponds to a 180 - degree rotation about the origin.

Answer:

180