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

When reflecting a point $(x,y)$ across the line $y = x$, the coordinates change to $(y,x)$.

Step2: Apply to parallelogram

For each vertex of parallelogram LMNP, swap the $x$ - and $y$ - coordinates. This will give the new positions of the vertices of the reflected parallelogram. By visual inspection of the graph and applying the $(x,y)\to(y,x)$ rule, we can identify the correct reflected figure.

Answer:

figure B