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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. Inscribed square problem - Wikipedia

    en.wikipedia.org/wiki/Inscribed_square_problem

    An even weaker condition on the curve than local monotonicity is that, for some >, the curve does not have any inscribed special trapezoids of size . A special trapezoid is an isosceles trapezoid with three equal sides, each longer than the fourth side, inscribed in the curve with a vertex ordering consistent with the clockwise ordering of the ...

  4. Kite (geometry) - Wikipedia

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

    A kite and its dual isosceles trapezoid. Kites and isosceles trapezoids are dual to each other, meaning that there is a correspondence between them that reverses the dimension of their parts, taking vertices to sides and sides to vertices. From any kite, the inscribed circle is tangent to its four sides at the four vertices of an isosceles ...

  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. 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.

  7. Colorado snow forecast: Multiple feet expected in the Rockies ...

    www.aol.com/colorado-snow-forecast-multiple-feet...

    Heavy snow showers of 1 to 2 feet are expected to blanket in the Colorado Rockies and Intermountain West this week, with isolated areas seeing up to 4 feet of the white stuff as a cyclone moves ...

  8. Talk:Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Talk:Isosceles_trapezoid

    Definition: A trapezoid is a quadrilateral that has only one pair of parallel sides. The non parallel sides of a trapezoid are called legs. 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.

  9. Personal bankruptcies are up. When does it make sense to file?

    www.aol.com/personal-bankruptcies-does-sense...

    Chapter 7 is a liquidation bankruptcy, where one's nonexempt property and assets — possessions not protected by bankruptcy — are turned over to a trustee, and debt is discharged in 3 to 6 months.