Question

A landscape architect designs a flower bed that is a quadrilateral, as shown in the figure. The plans call for a light to be placed at the midpoint of the longest side of the flower bed. The architect decides to change the location of the flower bed using the transformation (x, y) → (x, -y) . Describe the location of the light in the transformed flower bed. Then make the required calculations to show that your prediction is correct.

Answer 1

The light will be located at the midpoint of the longest side in the transformed flower bed, but mirrored below the x-axis.

Step-by-step explanation:

The transformation (x, y) → (x, -y) reflects the flower bed across the x-axis. The new flower bed will have the same shape and size as the original, but will be a mirror image of it below the x-axis.

Since the light was originally placed at the midpoint of the longest side, which is the same as the x-axis, the light will now be located at the midpoint of the longest side in the transformed flower bed, but mirrored below the x-axis.