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kite
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(Definition)
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A kite or deltoid is a quadrilateral with two pairs of equal sides, each pair consisting of adjacent sides. Contrast with parallelograms, where the equal sides are opposite.
The pairs of equal sides imply several properties:
- One diagonal divides the kite into two isosceles triangles, and the other divides the kite into two congruent triangles.
- The angles between the sides of unequal length are equal. In the picture, they are both equal to the sum of the blue angle with the red angle.
- The diagonals are perpendicular.
- If
and are the lengths of the diagonals, then the area is
Alternatively, if and are the lengths of the sides, and the angle between unequal sides, then the area is
- A kite possesses an inscribed circle. That is, there exists a circle that is tangent (touches) the four sides.
- Kites always possess at least one symmetry axis, being the diagonal that divides it into two congruent triangle.
When all the side lengths are the same, the kite becomes a rhombus, and when both diagonals have the same length, the kite becomes a square.
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"kite" is owned by yark. [ full author list (2) | owner history (1) ]
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(view preamble | get metadata)
Cross-references: square, rhombus, axis, symmetry, tangent, circle, inscribed, area, perpendicular, sum, length, angles, triangles, congruent, isosceles triangles, divides, diagonal, properties, imply, opposite, parallelograms, adjacent sides, sides, quadrilateral
This is version 6 of kite, born on 2006-03-30, modified 2006-10-20.
Object id is 7789, canonical name is Kite.
Accessed 4339 times total.
Classification:
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Pending Errata and Addenda
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