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  2. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    height/altitude: trapezoid/trapezium with opposing triangles , formed by the diagonals. Given a convex quadrilateral, the following properties are equivalent, and each implies that the quadrilateral is a trapezoid: It has two adjacent angles that are supplementary, that is, they add up to 180 degrees.

  3. Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Isosceles_trapezoid

    Any non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. [5] However, if crossings are allowed, the set of symmetric quadrilaterals must be expanded to include also the crossed isosceles trapezoids, crossed quadrilaterals in which the crossed sides are of equal length and the other sides are parallel, and the antiparallelograms ...

  4. Trapezium - Wikipedia

    en.wikipedia.org/wiki/Trapezium

    Trapezium, plural trapezia, may refer to: Trapezium, in British and other forms of English, a trapezoid, a quadrilateral that has exactly one pair of parallel sides; Trapezium, in North American English, an irregular quadrilateral with no sides parallel; Trapezium (bone), a bone in the hand; Trapezium Cluster, a group of stars in the Orion Nebula

  5. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    For more, see Trapezoid § Trapezium vs Trapezoid.) Trapezium (UK) or trapezoid (US): at least one pair of opposite sides are parallel. Trapezia (UK) and trapezoids (US) include parallelograms. Isosceles trapezium (UK) or isosceles trapezoid (US): one pair of opposite sides are parallel and the base angles are equal in measure. Alternative ...

  6. Tangential trapezoid - Wikipedia

    en.wikipedia.org/wiki/Tangential_trapezoid

    The formula for the area of a trapezoid can be simplified using Pitot's theorem to get a formula for the area of a tangential trapezoid. If the bases have lengths a, b, and any one of the other two sides has length c, then the area K is given by the formula [2] (This formula can be used only in cases where the bases are parallel.)

  7. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    The formulas and properties given below are valid in the convex case. The word cyclic is from the Ancient Greek κύκλος (kuklos), which means "circle" or "wheel". All triangles have a circumcircle, but not all quadrilaterals do. An example of a quadrilateral that cannot be cyclic is a non-square rhombus.

  8. ABC to pay $15 million to Trump library to settle lawsuit ...

    www.aol.com/news/abc-pay-15-million-trump...

    The lawsuit, filed on March 19 in U.S. District Court in Southern Florida, accused Stephanopoulos of making the statements with malice and a disregard for the truth. It said the statements were ...

  9. Vowel diagram - Wikipedia

    en.wikipedia.org/wiki/Vowel_diagram

    Such a diagram is called a vowel quadrilateral or a vowel trapezium. [2] Different vowels vary in pitch. For example, high vowels, such as [i] and [u], tend to have a higher fundamental frequency than low vowels, such as [a]. Vowels are distinct from one another by their acoustic form or spectral properties.