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In geometry, a quadrilateral is a polygon with four sides and four vertices. Quadrilaterals come in many different shapes and sizes, and they can be categorized based on their properties.

Here you can see a few common types of quadrilaterals:

  • A parallelogram is a quadrilateral with opposite sides that are parallel. Parallelograms comprise rectangles, squares, and rhombuses.
  • A quadrilateral with at least one pair of opposite, parallel sides is referred to as a trapezoid. Regular trapezoids, which have two pairs of parallel sides, and isosceles trapezoids are two types of trapezoids (which include two pairs of sides of the same length).
  • A kite is a quadrilateral carrying two pairs of sides that are congruent (have the same length). Kites are named following their shape, which is the same as a kite in the sky.

Geometry can study the many fascinating characteristics of quadrilaterals. For instance, the opposite sides of a parallelogram are always congruent, and the opposite angles of a parallelogram are always supplementary (add up to 180 degrees). Similar to how a kite's diagonals always cut each other in half, a rhombus' diagonals are always perpendicular. In many real-world applications, such as engineering and construction, where they are used to plan and construct structures, quadrilaterals are also significant.

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