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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.
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. $\angle D = \angle C;\; \angle A = \angle B$
- In an isosceles trapezoid, non-parallel sides are equal, base angles are equal, diagonals are congruent, and opposite angles are supplementary.
- Isosceles means “equal legs.” In an isosceles trapezoid, the non-parallel sides (or legs) are of equal length. Thus, it is called an isosceles trap...
- The number of sides in an isosceles trapezoid is four. While the two bases (opposite sides) are parallel to one another, the other two sides are eq...
- A right trapezoid is a trapezoid that has two adjacent right angles.
- A trapezoid in which all the four sides are of different lengths is called a scalene trapezoid.
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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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If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid. If ∠ A ≅ ∠ D (or if ∠ B ≅ ∠ C ), then trapezoid ABCD is isosceles.
