Question

rectangle defg is rotated 180° clockwise about the origin to produce rectangle defg. write the rule for the rotation. (x, y) → (□, □)

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) clockwise about the origin, the \(x\) - coordinate and \(y\) - coordinate change their signs.

Step2: Write the rule

The rule for a \(180^{\circ}\) clockwise rotation about the origin is \((x,y)\to(-x,-y)\)

Answer:

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