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- When the legs or non-parallel sides of a trapezoid are equal in length, the trapezoid is said to be isosceles. The parallel sides (base) of the isosceles trapezoid have equal angles. A trapezoid that is isosceles has a line of symmetry and both diagonals are equal in length.
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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.
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.
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.
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Nov 21, 2023 · An isosceles trapezoid's main characteristic is that the two non-parallel sides are equal in length. Other characteristics include the base angles being equal in size, and...