Is a "Rhombus" special case of "Kite". If yes how and if not why ?

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English teacher with 5 years of experience in teaching,• Instructed students in English language arts, including writing, reading comprehension, speaking, listening and understanding

If all four sides of a kite have the same length (that is, if the kite is equilateral), it must be a rhombus. If a kite is equiangular, meaning that all four of its angles are equal, then it must also be equilateral and thus a square. A kite with three equal 108° angles and one 36° angle forms the...
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If all four sides of a kite have the same length (that is, if the kite is equilateral), it must be a rhombus. If a kite is equiangular, meaning that all four of its angles are equal, then it must also be equilateral and thus a square. A kite with three equal 108° angles and one 36° angle forms the convex hull of the lute of Pythagoras. The kites that are also cyclic quadrilaterals (i.e. the kites that can be inscribed in a circle) are exactly the ones formed from two congruent right triangles. That is, for these kites the two equal angles on opposite sides of the symmetry axis are each 90 degrees.[2] These shapes are called right kites[3] and they are in fact bicentric quadrilaterals (below to the left). Among all the bicentric quadrilaterals with a given two circle radii, the one with maximum area is a right kite. There are only eight polygons that can tile the plane in such a way that reflecting any tile across any one of its edges produces another tile; one of them is a right kite, with 60°, 90°, and 120° angles. The tiling that it produces by its reflections is the deltoidal trihexagonal tiling. read less
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Kite belongs to quadrilateral group. If all four sides are equal, then it becomes "Rhombus" and if all four interior angles are equal to 90 degree, then its called Square. If not, Its quadrilateral- diagonals are intersecting @ 90 degree and angles between unequal sides are equal.
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No rhombus and kites can't be in same side ..because rhombus need all side equal and opposite sides parallel to each other and both opposite angles are equal but these two properties does not feet in kite case .... . some how we can call rhombus as a special case of square.
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Actually its misappropriation to state this, still the bottom when two sides of kite become equal to the upper two, then it obviously becomes a rhombus. :)
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Knowledgeable and Multi-talented Mentor With Over 11 Years of Tutoring Experience

A rhombus is a kite in which the opposite sides are not parallel
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Tutor

A kite is a family of the quadrilateral, and in order to visualise, is a small tricky to define in precise mathematical terms. Kite has two pairs of equal sides. Each pair must be adjacent sides and each pair must be distinct. i.e., the pairs cannot have a side in common. Drag all the orange dots...
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A kite is a family of the quadrilateral, and in order to visualise, is a small tricky to define in precise mathematical terms. Kite has two pairs of equal sides. Each pair must be adjacent sides and each pair must be distinct. i.e., the pairs cannot have a side in common. Drag all the orange dots in the kite above, to develop an intuitive understanding of a kite without needing the precise 'legal' definition. read less
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Teacher

Yes, rhombus is a kite, since rhombus satisfies all the properties of a kite.
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Teacher

Just to provide more information how rhombus is a kite... In a rhombus, two pairs of adjacent sides are equal and the diagonals intersect at right angles. There properties are true for a rhombus as well. So rhombus is a kite.
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Teacher

To explain further... Just as a parallelogram is a trapezium, rhombus is a kite. Besides all the properties of a kite, rhombus has additional properties such as the following: * All the 4 pairs of adjacent sides are equal (in a kite, only 2 pairs of adjacent sides are equal) * Diagonal not just intersect...
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To explain further... Just as a parallelogram is a trapezium, rhombus is a kite. Besides all the properties of a kite, rhombus has additional properties such as the following: * All the 4 pairs of adjacent sides are equal (in a kite, only 2 pairs of adjacent sides are equal) * Diagonal not just intersect at right angles, but even bisect each other at right angles (in a rhombus, only the longer diagonal bisects the smaller diagonal) read less
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