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A rhombus therefore has all of the properties of a parallelogram: for example, opposite sides are parallel; adjacent angles are supplementary; the two diagonals bisect one another; any line through the midpoint bisects the area; and the sum of the squares of the sides equals the sum of the squares of the diagonals (the parallelogram law).
Rational triangle; Heronian triangle. Pythagorean triangle; Isosceles heronian triangle; Primitive Heronian triangle; Right triangle. 30-60-90 triangle; Isosceles right triangle; Kepler triangle; Scalene triangle; Quadrilateral – 4 sides Cyclic quadrilateral; Kite. Rectangle; Rhomboid; Rhombus; Square (regular quadrilateral) Tangential ...
A parallelogram is equidiagonal if and only if it is a rectangle, [6] and a trapezoid is ... Varignon parallelogram is orthodiagonal (a rhombus), ... square. [4]: p ...
Octagonal prism, Square antiprism, Square cupola, Pentagonal bipyramid, Augmented pentagonal prism Dodecahedron Pentagonal antiprism , Decagonal prism , Pentagonal cupola , Snub disphenoid , Elongated square bipyramid , Metabidiminished icosahedron , Hexagonal bipyramid , Hexagonal trapezohedron , Triakis tetrahedron , Rhombic dodecahedron ...
A rhombus is an orthodiagonal quadrilateral with two pairs of parallel sides (that is, an orthodiagonal quadrilateral that is also a parallelogram). A square is a limiting case of both a kite and a rhombus. Orthodiagonal quadrilaterals that are also equidiagonal quadrilaterals are called midsquare quadrilaterals. [2]
Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled.. The terms "rhomboid" and "parallelogram" are often erroneously conflated with each other (i.e, when most people refer to a "parallelogram" they almost always mean a rhomboid, a specific subtype of parallelogram); however, while all rhomboids ...
A square is a special case of a rhombus (equal sides, opposite equal angles), a kite (two pairs of adjacent equal sides), a trapezoid (one pair of opposite sides parallel), a parallelogram (all opposite sides parallel), a quadrilateral or tetragon (four-sided polygon), and a rectangle (opposite sides equal, right-angles), [1] and therefore has ...
Absolute geometry; Affine geometry; Algebraic geometry; Analytic geometry; Birational geometry; Complex geometry; Computational geometry; Conformal geometry