A parallel is a quadrilateral in which both bag of the contrary sides space parallel .

the contrary angles are congruent; the contrary sides are congruent; nearby angles room supplementary;

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

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

The diagonals are congruent.

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

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 right angles.

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

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

A kite is a quadrilateral with precisely two pairs of nearby congruent sides. (This definition excludes rhombi. Part textbooks to speak a kite has at least two pairs of nearby congruent sides, so a rhombus is a special situation of a kite.)

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

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## Venn diagram of Quadrilateral category

The adhering to Venn Diagram mirrors the inclusions and intersections the the various varieties of quadrilaterals.