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  2. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    The rhombus has a square as a special case, and is a special case of a kite and parallelogram. In plane Euclidean geometry, a rhombus (pl.: rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means

  3. Equilateral polygon - Wikipedia

    en.wikipedia.org/wiki/Equilateral_polygon

    In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need to also be equiangular (have all angles equal), but if it does then it is a regular polygon .

  4. Rhomboid - Wikipedia

    en.wikipedia.org/wiki/Rhomboid

    Euclid introduced the term in his Elements in Book I, Definition 22, . Of quadrilateral figures, a square is that which is both equilateral and right-angled; an oblong that which is right-angled but not equilateral; a rhombus that which is equilateral but not right-angled; and a rhomboid that which has its opposite sides and angles equal to one another but is neither equilateral nor right-angled.

  5. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Rhombus, rhomb: [1] all four sides are of equal length (equilateral). An equivalent condition is that the diagonals perpendicularly bisect each other. Informally: "a pushed-over square" (but strictly including a square, too).

  6. Equidiagonal quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Equidiagonal_quadrilateral

    A convex quadrilateral is equidiagonal if and only if its Varignon parallelogram, the parallelogram formed by the midpoints of its sides, is a rhombus.An equivalent condition is that the bimedians of the quadrilateral (the diagonals of the Varignon parallelogram) are perpendicular.

  7. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    Parallelogram and Rhombus - Animated course (Construction, Circumference, Area) Weisstein, Eric W. "Parallelogram". MathWorld. Interactive Parallelogram --sides, angles and slope; Area of Parallelogram at cut-the-knot; Equilateral Triangles On Sides of a Parallelogram at cut-the-knot; Definition and properties of a parallelogram with animated ...

  8. Kite (geometry) - Wikipedia

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

    Additionally, if a convex kite is not a rhombus, there is a circle outside the kite that is tangent to the extensions of the four sides; therefore, every convex kite that is not a rhombus is an ex-tangential quadrilateral. The convex kites that are not rhombi are exactly the quadrilaterals that are both tangential and ex-tangential. [16]

  9. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Equilateral triangle; Isosceles triangle; Obtuse triangle; ... Rhombus (equilateral parallelogram) Lozenge; Rhomboid; Rectangle. square (regular quadrilateral)