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Quadrilaterals: Nomenclature

A quadrilateral is a polygon with four sides.

In that location are many special types of quadrilateral.

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .

A parallelogram as well has the following properties:

  • Reverse angles are congruent;
  • Opposite sides are congruent;
  • Adjacent angles are supplementary;
  • The diagonals bisect each other.

A rectangle is a parallelogram with four correct angles, and then all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.

A rectangle has all the properties of a parallelogram, plus the post-obit:

  • The diagonals are congruent.

A rhombus is a parallelogram with iv coinciding sides. The plural of rhombus is rhombi . (I honey that word.)

A rhombus has all the properties of a parallelogram, plus the following:

  • The diagonals intersect at right angles.

A square can be divers as a rhomb which is as well a rectangle – in other words, a parallelogram with iv congruent sides and four right angles.

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may exist some confusion about this word depending on which land you're in. In Republic of india and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent.

A kite is a quadrilateral with exactly two pairs of side by side congruent sides. (This definition excludes rhombi. Some textbooks say a kite has at least ii pairs of side by side coinciding sides, and then a rhombus is a special case of a kite.)

A scalene quadrilateral is a iv-sided polygon that has no congruent sides. Three examples are shown below.

Venn Diagram of Quadrilateral Nomenclature

The post-obit Venn Diagram shows the inclusions and intersections of the various types of quadrilaterals.