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  2. 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 ...

  3. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    Others [13] [failed verification] define a trapezoid as a quadrilateral with at least one pair of parallel sides (the inclusive definition [14]), making the parallelogram a special type of trapezoid. The latter definition is consistent with its uses in higher mathematics such as calculus. This article uses the inclusive definition and considers ...

  4. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    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 definitions are a quadrilateral with an axis of symmetry bisecting one pair of opposite sides, or a trapezoid with diagonals of equal length.

  5. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic. A kite is cyclic if and only if it has two right angles – a right kite.A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.

  6. Talk:Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Talk:Isosceles_trapezoid

    Definition: A parallelogram is a quadrilateral that has both pair of opposite sides parallel. Definition: An isosceles trapezoid is a trapezoid, whose legs have the same length. It is clear from this definition that parallelograms are not isosceles trapezoids. Ok, now that definitions have been laid out, we can prove theorems. Here are some ...

  7. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.

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  9. Talk:Trapezoid/Archive 1 - Wikipedia

    en.wikipedia.org/wiki/Talk:Trapezoid/Archive_1

    The currently used definition of a trapezoid (i.e. a shape with two parallel sides) allows for the inclusion of parallelogram, which is fine. However, the definition of a midsegment then states that the midsegment is to be drawn from the midpoints of the non-parallel sides, which a parallelogram does not have.

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