In the figure below, points E and F are the midpoints of sides ¯¯¯¯¯¯¯¯¯ A D and ¯¯¯¯¯¯¯¯ B C of rectangle A B C D , point G is the intersection of ¯¯¯¯¯¯¯¯ A F and ¯¯¯¯¯¯¯¯ B E , and point H is the intersection of ¯¯¯¯¯¯¯¯ C E and ¯¯¯¯¯¯¯¯¯ D F . The interior of A B C D except for the interior of E G F H is shaded. What is the ratio of the area of E G F H to the area of the shaded region? 1 : 2 ratio of 1 to 2 1 : 3 ratio of 1 to 3 1 : 4 ratio of 1 to 4 1 : 6 ratio of 1 to 6 Cannot be determined from the given information Cannot be determined from the given information