Be sure that polygon ABCD is not touching its image. Draw a line segment connecting point A and point AGH. Notice that intersects the line of reflection, . Mark the point of intersection of and . Measure and record the angle at the intersection of and . What happens if you move the line of reflection?

The measure of the angle of intersection for   and  is 90°. As the line of reflection changes position, the angle measure stays the same.

Step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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