A parallel is a quadrilateral in i beg your pardon both pairs of the contrary sides space parallel .

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A parallelogram additionally has the following properties:

the contrary angles space congruent; the contrary sides space congruent; adjacent angles space supplementary;

A rectangle is a parallel with four right angles, so all rectangles are also parallelograms and also quadrilaterals. ~ above the various other hand, no all quadrilaterals and parallelograms are rectangles.

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

The diagonals room congruent.

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

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

The diagonals crossing at appropriate angles.

A square deserve to be defined as a rhombus which is likewise a rectangle – in various other words, a parallelogram with 4 congruent sides and four best angles.

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A trapezoid is a quadrilateral with precisely one pair the parallel sides. (There might be part confusion about this word depending upon which nation you"re in. In India and also Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

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one isosceles trapezoid is a trapezoid whose non-parallel sides space congruent.

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

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


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Venn diagram of Quadrilateral classification

The following Venn Diagram shows the inclusions and intersections of the various types of quadrilaterals.