Explore the unique properties of an isosceles trapezoid, and how to find. The isosceles trapezoid is also known as a symtra because of its symmetry. An isosceles trapezoid, also called a 'trapezium,' is defined as a quadrilateral that has only one pair of parallel sides. Every antiparallelogram has an isosceles trapezoid as its convex hull, and may be formed from the diagonals and non-parallel sides of an isosceles trapezoid. It can also be defined as a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid. In Euclidean geometry, an isosceles trapezoid ( isosceles trapezium in British English ) is a trapezoid where the legs have equal length. However, if crossings are allowed, the set of symmetric quadrilaterals must be expanded to include also the antiparallelograms, crossed quadrilaterals in which opposite sides have equal length. An isosceles trapezoid and its axis of symmetry. 1693, Abel Swall, transl., The New Method of Fortification, as Practised by Monsieur de Vavban, Engineer General of France, 2nd edition, 'A New Treatise of Fortification', page 96: Upon each exterior. The base angles of an isosceles trapezoid are equal in measure.Īny non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. isosceles ( not comparable ) ( geometry) Having (at least) two sides of equal length, used especially of a triangle or trapezoid. The purpose of this activity is for students to define a trapezoid and to explore two definitions for a trapezoid. An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base. Right trapezoids are used in the trapezoidal rule for estimating areas under a curve. Some sources would qualify this with the exception: "excluding rectangles." Two opposite sides are parallel, and the two other sides are of equal length. A right trapezoid (also called right-angled trapezoid) has two adjacent right angles. In Euclidean geometry, an isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid. Freebase (3.00 / 2 votes) Rate this definition:
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