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

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We know numerous quadrilaterals by their one-of-a-kind shapes and also properties, choose squares. Remember, if friend see words quadrilateral, the does not necessarily mean a number with one-of-a-kind properties prefer a square or rectangle! In word problems, be mindful not to assume that a quadrilateral has parallel political parties or same sides uneven that is stated.

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Special Quadrilaterals


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A parallelogram has actually two parallel bag of the contrary sides.

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A rectangle has two bag of opposite political parties parallel, and four right angles. That is also a parallelogram, due to the fact that it has actually two pairs of parallel sides.

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A square has two bag of parallel sides, 4 right angles, and all 4 sides space equal. The is likewise a rectangle and a parallelogram.

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A rhombus is identified as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, due to the fact that a rhombus walk not have to have 4 appropriate angles.
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Trapezoids only have one pair that parallel sides. It"s a type of quadrilateral the is not a parallelogram. (British name: Trapezium)

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Kites have 2 pairs of surrounding sides that room equal.

We can use a Venn chart to assist us group the species of quadrilaterals.

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A Venn diagram uses overlapping circles to display relationships in between groups of objects. All "quadrilaterals" have the right to be separated right into three sub-groups: general quadrilaterals, parallelograms and trapezoids.

Is a rectangle always a rhombus? No, since all 4 sides of a rectangle don"t need to be equal. However, the sets of rectangles and rhombuses do intersect, and also their intersection is the set of squares—all squares are both a rectangle and a rhombus.

We can put squares in the intersection of the two circles.

From this diagram, you deserve to see the a square is a quadrilateral, a parallelogram, a rectangle, and also a rhombus!

Is a trapezoid a parallelogram? No, due to the fact that a trapezoid has only one pair of parallel sides. The is why we must display the set of trapezoids in a separate circle ~ above the Venn diagram.

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

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Homework aid | Geometry | Polygons
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