Self-intersectionsĪny non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. They can also be seen dissected from regular polygons of 5 sides or more as a truncation of 4 sequential vertices. Īnother special case is a 3-equal side trapezoid, sometimes known as a trilateral trapezoid or a trisosceles trapezoid. Rectangles and squares are usually considered to be special cases of isosceles trapezoids though some sources would exclude them. The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base). In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). Note that a non-rectangular parallelogram is not an isosceles trapezoid because of the second condition, or because it has no line of symmetry. Alternatively, it can be defined as a trapezoid in which both legs and both base angles are of equal measure. In Euclidean geometry, an isosceles trapezoid ( isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. Isosceles trapezoid with axis of symmetry
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