A parallelogram is a square in which both pairs of the opposite sides room parallel .

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A parallelogram also has the following properties:

the contrary angles room congruent; the contrary sides room congruent; surrounding angles space supplementary;

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

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

The diagonals space congruent.

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

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

The diagonals intersect at appropriate angles.

A square can be identified as a rhombus i m sorry is also a rectangle – in various other words, a parallelogram with four congruent sides and four ideal angles.

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

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

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A kite is a square with specifically two bag of surrounding congruent sides. (This definition excludes rhombi. Part textbooks say a kite contends least 2 pairs of nearby congruent sides, therefore a rhombus is a special instance of a kite.)

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


You are watching: A rectangle with four congruent sides


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Venn chart of Quadrilateral classification

The following Venn Diagram mirrors the inclusions and also intersections the the various species of quadrilaterals.