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Properties of Geometric Kites

The geometric form known as a "kite" is shaped like the classic version of the aircraft of the same name, with two sets of adjacent sides of the same length. Rhombuses and lozenges are special cases of kites, and can be distinguished from other shapes by specific characteristics.
  1. Sides

    • A kite is a quadrilateral, meaning it has four sides. Like parallelograms, the four sides are made of two sets of congruent line segments--in other words, two sets of segments of the same length. However, unlike parallelograms, in which the congruent sides are opposite one another, a kite's congruent sides are adjacent to one another.. Each pair of congruent line segments meets at the opposite angle from the other.

    Angles

    • The angles at which a kite's congruent sides meet can be different, but the angles where the sets of congruent pairs meet one another are identical and opposite one another. A specific type of kite known as a polykite has 120-, 90-, 60- and 90-degree angles, and edge ratios of the square root of 3 to 1. Kites are convex, meaning that they don't have any internal angles.

    Diagonals

    • A kite's diagonals are the line segments that can be drawn to connect its opposite angles like the two crossed sticks in a flying kite, over which the material stretches. One of the kite's diagonals always bisects the other, cutting it precisely in half. Furthermore, the diagonals are perpendicular, intersecting each other at a right angle and forming four 90-degree angles where they meet.

    Finding a Kite's Area

    • You can find a kite's area by multiplying the lengths of the polygon diagonals together, then dividing that number in half. This formula is expressed as A = 1/2 pq. The "A" in the formula represents the area, and "p" and "q" are the lengths of the kite's two diagonals.

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