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 over y=x rule

A point $(a,b)$ reflects to $(b,a)$ over $y=x$.

Step2: Check parallelogram LMNP's reflection

Take key vertices of LMNP: suppose L, M, N, P have coordinates (e.g., if L is near y-axis, reflecting swaps x and y values, matching figure C's orientation and position.

Answer:

C. figure C