Answer :
figure C
When a point is reflected across the line y = x the x and y coordinates change its place. These are the coordinates of vertices of the figure C. Therefore, figure C represents the image of parallelogram LMNP.
Figure C is the image of parallelogram lmnp after a reflection across the line y = x
Transformation
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation
If a point A(x, y) is reflected over the line y = x, the new point is at A'(y, x).
Parallelogram LMNP has vertices at L(3, 1), M(4, 3), N(5, 3) and P(4, 1). If it is reflection across the line y = x, the new point is L'(1, 3), M'(3, 4), N'(3, 5) and P'(1, 4) which is the same as figure C.
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