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An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. A trapezoid is a quadrilateral with only one of its sides parallel. An isosceles trapezoid has many interesting properties that make it unique and help us differentiate it from the other quadrilaterals.
Base Angles. Diagonals. The defining trait of this special type of trapezoid is that the two non-parallel sides (XW and YZ below) are congruent.
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.
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.
What are the Properties of an Isosceles Trapezium? Consider the isosceles trapezium ABCD. Property 1: Only one pair of sides are parallel. AB ∥ CD. Property 2: Non-parallel sides (legs) are equal in measure. AD = BC. Property 3: The diagonals are equal in measure. AC = BD. Property 4: The base angles are equal in measure. ∠D = ∠C ...
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 ...
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What is a isosceles trapezoid?
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What is a non-isosceles trapezoid?
An isosceles trapezoid is a quadrilateral with two parallel sides and two non-parallel sides of equal length. In this type of trapezoid, the base angles (the angles between the parallel sides and the non-parallel sides) are also equal.
