Question

almn is rotated 180° counterclockwise about the origin to produce △lmn.
write the rule for the rotation.
(x,y)→(□,□)

Explanation:

Step1: Recall rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) counter - clockwise about the origin, the rule is based on the transformation of coordinates.

Step2: Apply the rule

For a \(180^{\circ}\) counter - clockwise rotation about the origin, the \(x\) - coordinate and \(y\) - coordinate of the point \((x,y)\) change their signs. So \((x,y)\to(-x,-y)\)

Answer:

\((x,y)\to(-x,-y)\)