The BLUE quadrilateral is inscribed in the GREEN quadrilateral.[br][br]The points E, F, G and H subdivide the sides AB, BC, CD and DA[br]respectively all in same ratio. [br][br]Call this ratio r. You can vary r by dragging the GOLD dot.[br][br]How does the ratio of the areas vary with r?[br][br]You can vary the GREEN quadrilateral by dragging the large BLACK dots.[br][br]Can you explain why if r is kept fixed and the GREEN quadrilateral is varied by dragging the BLACK dots,[br]the ratio of the areas of GREEN to the BLUE quads does not change?