Question

which figure represents the image of parallelogram lmnp after a reflection across the line y = x? figure a figure b figure c figure d

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y = x$ is $(x,y)\to(y,x)$.

Step2: Apply rule to parallelogram

For parallelogram LMNP, when we apply the $(x,y)\to(y,x)$ transformation to its vertices, we get the image that matches figure B.

Answer:

B. figure B