A parallel is a square in which both bag of opposite sides space parallel .

*

A parallelogram also has the adhering to properties:

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

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

*

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

The diagonals are congruent.

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

*

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

The diagonals crossing at right angles.

A square can be defined as a rhombus i beg your pardon is additionally a rectangle – in other words, a parallel with four congruent sides and also four best angles.

*

A trapezoid is a square with specifically one pair that parallel sides. (There may be part confusion about this word depending upon which nation you"re in. In India and also Britain, they speak trapezium ; in America, trapezium usually method a quadrilateral with no parallel sides.)

*

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

*

A dragon is a quadrilateral with precisely two pairs of surrounding congruent sides. (This meaning excludes rhombi. Some textbooks say a kite contends least two pairs of nearby congruent sides, for this reason a rhombus is a special situation of a kite.)

*

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


You are watching: Opposite sides are parallel and congruent


See more: What To Eat To Get Shorter ? Foods That Stunt Your Growth Slideshow

*

Venn diagram of Quadrilateral group

The following Venn Diagram mirrors the inclusions and intersections that the various types of quadrilaterals.