Types of Trapezoids

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.

(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.

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.

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 layman’s term for rhombus. Rhombus and Diamond. A quadrilateral with all sides equal are in length is known as a rhombus.

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:

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.

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.

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.