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: Recall rotation rules

A $180^{\circ}$ rotation about the origin has the rule $(x,y)\to(-x, -y)$.

Step2: Observe the transformation

By looking at the parallelogram ABCD and its image A'B'C'D', we can see that it is rotated 180 - degrees about the origin. For example, if we take a vertex A with coordinates say $(x_1,y_1)$ and its corresponding vertex A' has coordinates $(-x_1,-y_1)$. So the rule that describes this transformation is $(x,y)\to(-x, -y)$.

Answer:

C. $(x,y)\to(-x, -y)$