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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.
There are no nonconvex Euclidean regular tessellations in any number of dimensions. ... Tangential quadrilateral; Trapezoid or trapezium Isosceles trapezoid; Pentagon ...
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 ...
A Watt quadrilateral is a quadrilateral with a pair of opposite sides of equal length. [6] A quadric quadrilateral is a convex quadrilateral whose four vertices all lie on the perimeter of a square. [7] A diametric quadrilateral is a cyclic quadrilateral having one of its sides as a diameter of the circumcircle. [8]
Tangential quadrilateral; Tangential trapezoid; Trapezoid; U. Unit square This page was last edited on 3 November 2020, at 13:20 (UTC). ...
Euclid used the word trapezium (in Greek, of course) to described all quadrilaterals more general than the parallelogram. Marinus Proclus (410 to 485 AD approx) in his Commentary on the first book of Euclid’s Elements invented the word translated trapezoid to refer to a general quadrilateral having no special properties.
From Boeing's turbulence and a catastrophic hurricane, to Donald Trump's election victory, "Sunday Morning" host Jane Pauley looks back at key events of a year that was monumental.
Among all quadrilaterals, the shape that has the greatest ratio of its perimeter to its diameter (maximum distance between any two points) is an equidiagonal kite with angles 60°, 75°, 150°, 75°. Its four vertices lie at the three corners and one of the side midpoints of the Reuleaux triangle .