A parallelogram is a quadrilateral in i m sorry both pairs of the contrary sides space parallel .

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A parallelogram additionally has the following properties:

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

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

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

The diagonals are congruent.

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

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

The diagonals intersect at right angles.

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

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

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

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A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. (This meaning excludes rhombi. Some textbooks to speak a kite has at 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 displayed below.


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Venn diagram of Quadrilateral category

The complying with Venn Diagram mirrors the inclusions and also intersections that the various types of quadrilaterals.