Concept

Types of Quadrilaterals

There are seven types of quadrilaterals, each with its own unique characteristics.

Trapezoid: a quadrilateral with exactly one pair of parallel sides (exclusive definition of trapezoid).
Isosceles Trapezoid: a particular type of trapezoid whose legs are congruent.
Kite: a quadrilateral with two pairs of congruent consecutive sides, where opposite sides are not congruent.
Parallelogram: a quadrilateral with two pairs of parallel sides.
Rhombus: a type of parallelogram that has four equal side lengths.
Rectangle: a type of parallelogram that has four right angles.
Square: a type of rectangle that has four equal side lengths.

The diagram illustrates each of the types of quadrilaterals and their relationship to one another.

Extra

Hierarchy Constructed by Using the Inclusive Definition of Trapezoid

Considering the inclusive definition of trapezoids, the above hierarchy changes. The inclusive definition states that a trapezoid is a quadrilateral with at least one pair of parallel sides, and thus parallelograms are regarded as trapezoids.

Extra

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