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

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A parallelogram also has the following properties:

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

A rectangle is a parallelogram with 4 right angles, so every rectangles are additionally parallelograms and quadrilaterals. Top top the other hand, no all quadrilaterals and also parallelograms are rectangles.

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

The diagonals room 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 properties of a parallelogram, to add the following:

The diagonals crossing at ideal angles.

A square can be identified as a rhombus i beg your pardon is likewise a rectangle – in various other words, a parallelogram with 4 congruent sides and also four right angles.

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A trapezoid is a square with exactly one pair the parallel sides. (There might be some confusion about this word relying on which country you"re in. In India and Britain, they speak trapezium ; in America, trapezium usually method a quadrilateral with no parallel sides.)

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

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A kite is a square with exactly two bag of adjacent congruent sides. (This definition excludes rhombi. Part textbooks to speak a kite contends least 2 pairs of surrounding 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 also intersections the the various varieties of quadrilaterals.