There are numerous different kinds of quadrilaterals, but all have actually several points in common: all of them have four sides, space coplanar, have two diagonals, and also the amount of their 4 interior angles amounts to 360 degrees. This is exactly how they space alike, yet what makes them different?
We know countless quadrilaterals by their unique shapes and properties, choose squares. Remember, if you see the word quadrilateral, it does no necessarily average a number with unique properties like a square or rectangle! In indigenous problems, be cautious not to assume the a quadrilateral has parallel sides or same sides unless that is stated.
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Special Quadrilaterals
 A parallelogram has two parallel pairs of the contrary sides. 
 A rectangle has two pairs of opposite political parties parallel, and also four best angles. The is additionally a parallelogram, due to the fact that it has actually two bag of parallel sides. 
 A square has two bag of parallel sides, four right angles, and all four sides are equal. The is additionally a rectangle and also a parallelogram. 
 A rhombus is characterized as a parallel with four equal sides. Is a rhombus constantly a rectangle? No, since a rhombus walk not have to have 4 right angles. 
Trapezoids only have one pair that parallel sides. It"s a kind of quadrilateral that is no a parallelogram. (British name: Trapezium)  
 Kites have 2 pairs of adjacent sides that room equal. 
We have the right to use a Venn chart to aid us group the varieties of quadrilaterals.
A Venn diagram provides overlapping circles to display relationships between groups that objects. Every "quadrilaterals" have the right to be separated into three subgroups: basic quadrilaterals, parallelograms and trapezoids.
Is a rectangle always a rhombus? No, because all 4 sides that a rectangle don"t need to be equal. However, the set of rectangles and rhombuses execute intersect, and also their intersection is the collection of squares—all squares room both a rectangle and also a rhombus.
We have the right to put squares in the intersection of the 2 circles.
From this diagram, you can see the a square is a quadrilateral, a parallelogram, a rectangle, and a rhombus!
Is a trapezoid a parallelogram? No, because a trapezoid has actually only one pair the parallel sides. That is why us must present the collection of trapezoids in a different circle top top the Venn diagram.
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What around kites? Kites are quadrilaterals the can be parallelograms. If their two pairs of sides room equal, it becomes a rhombus, and also if their angles are equal, it becomes a square.
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