Question

parallelogram abcd is rotated to create image abcd. which rule describes the transformation? (x,y)→(y, -x) (x,y)→(-y,x) (x,y)→(-x,-y) (x,y)→(x,-y)

Explanation:

Step1: Analyze rotation pattern

By observing the original parallelogram \(ABCD\) and its rotated image \(A'B'C'D'\), we can see that it is rotated 180 - degrees about the origin.

Step2: Recall 180 - degree rotation rule

The rule for a 180 - degree rotation about the origin for a point \((x,y)\) is \((x,y)\to(-x,-y)\).

Answer:

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