Properties of Kites
A kite is a quadrilateral with two pairs of adjacent sides that are equal in length
A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. Here are the properties of kites:
1. Congruent Angles: The angles formed at the intersection of the diagonals of a kite are congruent. This means that the two angles formed by the diagonals’ intersection are equal in measure.
2. Diagonals are Perpendicular: The diagonals of a kite are perpendicular to each other. This implies that the line connecting the vertices of a kite are perpendicular bisectors of each other.
3. Symmetry: A kite possesses a line of symmetry, which divides the figure into two congruent parts. This line of symmetry is the line connecting the midpoint of one pair of equal-length sides to the midpoint of the other pair.
4. Bisecting Angles: The diagonals of a kite bisect each other. This means that the diagonals divide the angles formed by the sides of the kite into equal halves.
5. Unequal Side Lengths: Kites have two pairs of adjacent sides that are unequal in length. One pair is longer while the other pair is shorter.
6. Unequal Angle Measures: The two non-congruent angles of a kite have different measures. One angle is larger, while the other is smaller.
7. Area Calculation: The area of a kite can be calculated using the formula: Area = (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.
It’s important to note that these properties only apply to a traditional kite shape. In some cases, the term “kite” may also refer to a more general type of quadrilateral where all sides are unequal in length. However, the above properties specifically pertain to the traditional kite shape.
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