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 across y=x

Reflecting a point (a,b) across y=x gives (b,a).

Step2: Identify LMNP vertices

Assume LMNP has vertices (x₁,y₁),(x₂,y₂),(x₃,y₃),(x₄,y₄) from the graph.

Step3: Reflect each vertex

Reflected vertices: (y₁,x₁),(y₂,x₂),(y₃,x₃),(y₄,x₄).

Step4: Match with options

Compare reflected vertices to figures A-D; the matching figure is the answer.

Answer:

C. figure C