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  2. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    Rectangle – A parallelogram with four angles of equal size (right angles). Rhombus – A parallelogram with four sides of equal length. Any parallelogram that is neither a rectangle nor a rhombus was traditionally called a rhomboid but this term is not used in modern mathematics. [1]

  3. 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.

  4. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Rhomboid: a parallelogram in which adjacent sides are of unequal lengths, and some angles are oblique (equiv., having no right angles). Informally: "a pushed-over oblong". Not all references agree; some define a rhomboid as a parallelogram that is not a rhombus. [4] Rectangle: all four angles are right angles (equiangular). An equivalent ...

  5. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    A quadrilateral with four equal sides and four right angles; A parallelogram with one right angle and two adjacent equal sides; A rhombus with a right angle; A rhombus with all angles equal; A rhombus with equal diagonals; These 6 symmetries express 8 distinct symmetries on a square. John Conway labels these by a letter and group order. [11]

  6. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. A rhombus is a tangential quadrilateral. [10] That is, it has an inscribed circle that is tangent to all four sides. A rhombus. Each angle marked with a black dot is a right angle.

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  9. Parallelogram law - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_law

    In the parallelogram on the right, let AD = BC = a, AB = DC = b, =. By using the law of cosines in triangle , we get: + ⁡ =.. In a parallelogram, adjacent angles are supplementary, therefore =.