Types of Quadrilaterals

Quadrilaterals are four-sided shapes with unique properties. Understanding their types—like squares, rectangles, and trapezoids—helps us see how they relate to each other in geometry, revealing patterns and characteristics that define their structure and behavior.

1. Square

   • All four sides are equal in length.
   • All interior angles are right angles (90 degrees).
   • Diagonals are equal in length and bisect each other at right angles.
   • A square is a specific type of rectangle and rhombus.

2. Rectangle

   • Opposite sides are equal in length.
   • All interior angles are right angles (90 degrees).
   • Diagonals are equal in length but do not necessarily bisect at right angles.
   • A rectangle is a specific type of parallelogram.

3. Rhombus

   • All four sides are equal in length.
   • Opposite angles are equal, and adjacent angles are supplementary.
   • Diagonals bisect each other at right angles and are not necessarily equal.
   • A rhombus is a specific type of parallelogram.

4. Parallelogram

   • Opposite sides are equal in length and parallel.
   • Opposite angles are equal, and adjacent angles are supplementary.
   • Diagonals bisect each other but are not necessarily equal.
   • Includes rectangles, rhombuses, and squares as specific types.

5. Trapezoid

   • At least one pair of opposite sides is parallel.
   • The non-parallel sides are called legs, which can be of different lengths.
   • Angles adjacent to each leg are supplementary.
   • Can be classified into different types, such as isosceles trapezoids.

6. Kite

   • Two pairs of adjacent sides are equal in length.
   • One pair of opposite angles (the angles between the unequal sides) are equal.
   • Diagonals intersect at right angles, with one diagonal bisecting the other.
   • Kites do not have parallel sides.

7. Isosceles Trapezoid

   • Has one pair of parallel sides and the non-parallel sides (legs) are equal in length.
   • Base angles (angles adjacent to each base) are equal.
   • Diagonals are equal in length.
   • A specific type of trapezoid with symmetrical properties.