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?

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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


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A parallelogram has two parallel pairs of the contrary sides.

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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.

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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.

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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.
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Trapezoids only have one pair that parallel sides. It"s a kind of quadrilateral that is no a parallelogram. (British name: Trapezium)

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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.

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A Venn diagram provides 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 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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