# Types of Trapezoids

Isosceles Trapezoid

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.

Kite

(1) A trapezoid is isosceles if and only if the base angles are congruent. (2) A trapezoid is isosceles if and only if the diagonals are congruent. (3) If a trapezoid is isosceles, then its opposite angles are supplementary. Kites. Definition: A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.

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Parallelogram

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogramare of equal measure." -- Formal definition of Parallelogram. Whereas Trapezoid has only one pair of parallel sides. Thus, we can say Trapezoid is not a Parallelogram.

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Rhombus

Diamond, Rhombus vs Trapezoid Diamond, Rhombus, and Trapezoid are all quadrilaterals, which are polygons with four sides. While rhombus and trapezium are properly defined in mathematics, diamond (or diamond shape) is a laymanâ€™s term for rhombus. Rhombus and Diamond. A quadrilateral with all sides equal are in length is known as a rhombus.

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Right Trapezoid

The distance (at right angles) from one base to the other is called the "altitude" Area of a Trapezoid The Area is the average of the two base lengths times the altitude:

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Scalene Trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases). The following figure shows a trapezoid to the left, and an isosceles trapezoid on the right.

source: dummies.com
Square

No, a square is not a trapezoid! The definition of a square does not comply with the definition of a trapezoid. The definition of a trapezoid is a quadrilateral (a closed plane figure with 4 sides) with exactly one pair of parallel sides.

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Trapezium

trapezoid (US) = trapezium (UK) In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America.

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