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

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A parallelogram additionally has the following properties:

opposite angles room congruent; the opposite sides are congruent; surrounding angles room supplementary;

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

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

The diagonals room congruent.

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

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

The diagonals intersect at appropriate angles.

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

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

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

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A kite is a square with specifically two bag of adjacent congruent sides. (This an interpretation excludes rhombi. Part textbooks to speak a kite contends least two pairs of adjacent congruent sides, for this reason 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 examples are shown below.


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Venn diagram of Quadrilateral classification

The following Venn Diagram reflects the inclusions and intersections the the various varieties of quadrilaterals.