There are plenty of different kinds of quadrilaterals, yet all have several points in common: every one of them have 4 sides, room coplanar, have actually two diagonals, and the amount of their four interior angles amounts to 360 degrees. This is just how they room alike, however what makes them different?


We know countless quadrilaterals through their distinct shapes and also properties, like squares. Remember, if friend see words quadrilateral, it does no necessarily typical a figure with special properties favor a square or rectangle! In native problems, be cautious not to assume the a quadrilateral has actually parallel political parties or same sides uneven that is stated.

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Special Quadrilaterals


A parallelogram has two parallel pairs of opposite sides.


A rectangle has two pairs of opposite sides parallel, and four ideal angles. It is also a parallelogram, since it has 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 also a rectangle and a parallelogram.


A rhombus is characterized as a parallel with 4 equal sides. Is a rhombus always a rectangle? No, since a rhombus does not have to have 4 ideal angles.
Trapezoids only have actually one pair the parallel sides. It"s a kind of quadrilateral the is no a parallelogram. (British name: Trapezium)


Kites have 2 pairs of surrounding sides that are equal.

We deserve to use a Venn diagram to assist us group the varieties of quadrilaterals.


A Venn diagram uses overlapping circles to display relationships between groups that objects. Every "quadrilaterals" have the right to be separated into three sub-groups: basic quadrilaterals, parallelograms and also trapezoids.

Is a rectangle constantly a rhombus? No, due to the fact that all 4 sides that a rectangle don"t need to be equal. However, the to adjust of rectangles and rhombuses execute intersect, and also their intersection is the set of squares—all squares space both a rectangle and also a rhombus.

We can put squares in the intersection of 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, due to the fact that a trapezoid has only one pair of parallel sides. That is why us must present the set of trapezoids in a different circle top top the Venn diagram.

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What about kites? Kites are quadrilaterals that can it is in parallelograms. If their two pairs that sides are equal, it i do not care a rhombus, and also if their angles are equal, it becomes a square.

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