A parallelogram is a quadrilateral in which both bag of opposite sides room parallel .

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A parallelogram also has the complying with properties:

the opposite angles space congruent; opposite sides are congruent; adjacent angles are supplementary;

A rectangle is a parallelogram with 4 right angles, so all rectangles are likewise parallelograms and quadrilaterals. ~ above the various other hand, not all quadrilaterals and also parallelograms are rectangles.

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A rectangle has all the nature of a parallelogram, to add the following:

The diagonals are congruent.

A rhombus is a parallelogram with 4 congruent sides. The many of rhombus is rhombi . (I love that word.)

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A rhombus has actually all the nature of a parallelogram, add to the following:

The diagonals crossing at appropriate angles.

A square have the right to be identified as a rhombus which is also a rectangle – in various other words, a parallelogram with four congruent sides and four appropriate angles.

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A trapezoid is a quadrilateral with precisely one pair that parallel sides. (There may be some confusion about this word depending on which nation you"re in. In India and also Britain, they say trapezium ; in America, trapezium usually way a quadrilateral v no parallel sides.)

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an isosceles trapezoid is a trapezoid who non-parallel sides space congruent.

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A dragon is a quadrilateral with precisely two pairs of adjacent congruent sides. (This definition excludes rhombi. Some textbooks speak a kite has at least two pairs of surrounding congruent sides, so a rhombus is a special instance of a kite.)

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A scalene square is a four-sided polygon that has no congruent sides. Three instances are presented below.


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Venn diagram of Quadrilateral group

The adhering to Venn Diagram reflects the inclusions and also intersections of the various types of quadrilaterals.