Final answer:
The statement that Line Segment KM is perpendicular to Line Segment LN in a kite shape is true due to the properties of kites in Euclidean geometry.
Step-by-step explanation:
The statement "Line Segment KM is perpendicular to Line Segment LN" is true if KLMN is a kite due to the properties of a kite. The defining characteristics of a kite include two pairs of adjacent sides that are of equal length. In a kite, one pair of diagonals are perpendicular to each other. Therefore, if KM and LN are the diagonals of the kite, it is indeed true that Line Segment KM is perpendicular to Line Segment LN. Remember, this is true for the classic kite shape in Euclidean geometry.