Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle. Which statement describes how the location of segment EG affects the area of EFGH ?

The kite’s diagonals are EG and FH. Since EG is parallel to a side of the rectangle and F and H are midpoints of the other pair of sides, the diagonals are perpendicular and their lengths match the rectangle’s side lengths. The area of a kite is half the product of its diagonals, so its area is 1/2 × (rectangle length) × (rectangle width), or half the rectangle’s area. Thus the area is always one half, even if E and G are not midpoints.

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