There are countless different type of quadrilaterals, however all have actually several points in common: all of them have four sides, are coplanar, have two diagonals, and also the amount of their four interior angles amounts to 360 degrees. This is exactly how they room alike, however what provides them different?
We know many quadrilaterals by their unique shapes and properties, prefer squares. Remember, if girlfriend see words quadrilateral, that does not necessarily typical a number with oneofakind properties like a square or rectangle! In indigenous problems, be cautious not come assume that a quadrilateral has parallel political parties or same sides unless that is stated.
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Special Quadrilaterals
 A parallelogram has actually two parallel pairs of the contrary sides. 
 A rectangle has actually two bag of opposite sides parallel, and also four appropriate angles. It is likewise a parallelogram, because it has actually two pairs of parallel sides. 
 A square has actually two pairs of parallel sides, 4 right angles, and all four sides are equal. The is additionally a rectangle and also a parallelogram. 
 A rhombus is defined as a parallelogram with four equal sides. Is a rhombus constantly a rectangle? No, since a rhombus go not have to have 4 best angles. 
Trapezoids only have actually one pair that parallel sides. It"s a kind of quadrilateral the is not a parallelogram. (British name: Trapezium)  
 Kites have two pairs of surrounding sides that room equal. 
We can use a Venn chart to help us group the types of quadrilaterals.
A Venn diagram uses overlapping one to display relationships in between groups the objects. Every "quadrilaterals" can be separated right into three subgroups: basic quadrilaterals, parallelograms and trapezoids.
Is a rectangle constantly a rhombus? No, because all four sides of a rectangle don"t need to be equal. However, the set of rectangles and rhombuses do intersect, and also their intersection is the set of squares—all squares are both a rectangle and also a rhombus.
We deserve to put squares in the intersection the the 2 circles.
From this diagram, you deserve to see the a square is a quadrilateral, a parallelogram, a rectangle, and a rhombus!
Is a trapezoid a parallelogram? No, because a trapezoid has only one pair that parallel sides. That is why us must show 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 that sides room equal, it becomes a rhombus, and if their angles space equal, it becomes a square.
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