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  2. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    A rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. A rhombus has an inscribed circle, while a rectangle has a circumcircle. A rhombus has an axis of symmetry through each pair of opposite vertex angles, while a rectangle has an axis of symmetry ...

  3. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    A square can also be defined as a parallelogram with equal diagonals that bisect the angles. If a figure is both a rectangle (right angles) and a rhombus (equal edge lengths), then it is a square. A square has a larger area than any other quadrilateral with the same perimeter. [7]

  4. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    These include as special cases the rhombus and the rectangle respectively, and the square, which is a special case of both. [1] The self-crossing quadrilaterals include another class of symmetric quadrilaterals, the antiparallelograms. [16]

  5. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    A quadrilateral is a square if and only if it is both a rhombus and a rectangle (i.e., four equal sides and four equal angles). Oblong: longer than wide, or wider than long (i.e., a rectangle that is not a square). [5] Kite: two pairs of adjacent sides are of equal length.

  6. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

  7. Genus–differentia definition - Wikipedia

    en.wikipedia.org/wiki/Genus–differentia_definition

    a square: a rhombus that has interior angles which are all right angles. In fact, the definition of a square may be recast in terms of both of the abstractions, where one acts as the genus and the other acts as the differentia: a square: a rectangle that is a rhombus. a square: a rhombus that is a rectangle.

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  9. Van Hiele model - Wikipedia

    en.wikipedia.org/wiki/Van_Hiele_model

    A shape is a circle because it looks like a sun; a shape is a rectangle because it looks like a door or a box; and so on. A square seems to be a different sort of shape than a rectangle, and a rhombus does not look like other parallelograms, so these shapes are classified completely separately in the child’s mind.