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Properties of an Isosceles Trapezoid. The properties of the isosceles trapezoid are discussed below. Only one pair of sides is parallel. $AB | | CD$ Non-parallel sides (legs) are equal in measure. $AD = BC \Rightarrow c = d$ The diagonals are equal. $AC = BD$ The base angles are congruent. $\angle D = \angle C;\; \angle A = \angle B$
What are the Properties of an Isosceles Trapezoid? In an isosceles trapezoid, the number of sides is four. The two opposite sides (bases) are parallel to each other and the other two sides are equal in lengths but non-parallel to each other.
Jul 9, 2021 · The properties of the isosceles trapezoid are as follows: The properties of a trapezoid apply by definition (parallel bases). The legs are congruent by definition. The lower base angles are congruent. The upper base angles are congruent. Any lower base angle is supplementary to any upper base angle. The diagonals are congruent.
Aug 3, 2023 · An isosceles trapezoid is a two-dimensional closed figure with one pair of congruent non-parallel sides (legs) and two pairs of congruent base angles. In other words, an isosceles trapezoid is a trapezoid with congruent legs. Therefore, an isosceles trapezoid has a pair of parallel but unequal opposite sides (bases) and a pair of non-parallel ...
The defining trait of this special type of trapezoid is that the two non-parallel sides (XW and YZ below) are congruent.
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. It is a special case of a trapezoid.
5 days ago · An isosceles trapezoid (called an isosceles trapezium by the British; Bronshtein and Semendyayev 1997, p. 174) is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. From the Pythagorean theorem, h=sqrt(c^2-1/4(b-a)^2), (1) so A = 1/2(a+b)h (2) = 1/2(a+b)sqrt(c^2-1/4(b-a)^2).
