There are numerous different kinds of quadrilaterals, but all have actually several things in common: every one of them have four sides, space coplanar, have two diagonals, and also the sum of their four interior angles equals 360 degrees. This is just how they room alike, yet what renders them different?

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We know countless quadrilaterals through their special shapes and properties, prefer squares. Remember, if friend see the word quadrilateral, that does no necessarily mean a figure with unique properties prefer a square or rectangle! In word problems, be careful not come assume that a quadrilateral has parallel political parties or same sides unless that is stated.

You are watching: Is a rectangle a parallelogram yes or no

Special Quadrilaterals


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

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A rectangle has two pairs of opposite sides parallel, and also four ideal angles. It is likewise 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 room equal. That is also a rectangle and a parallelogram.

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A rhombus is defined as a parallel with four equal sides. Is a rhombus constantly a rectangle? No, since a rhombus go not need to have 4 ideal angles.
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Trapezoids only have actually one pair that parallel sides. It"s a type of quadrilateral that is not a parallelogram. (British name: Trapezium)

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Kites have two pairs of adjacent sides that are equal.

We deserve to use a Venn chart to assist us team the varieties of quadrilaterals.

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A Venn diagram uses overlapping one to present relationships in between groups of objects. Every "quadrilaterals" can be separated into three sub-groups: basic quadrilaterals, parallelograms and also trapezoids.

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

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

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What around kites? Kites are quadrilaterals that can it is in parallelograms. If their 2 pairs that sides space equal, it becomes a rhombus, and also if your angles space equal, it becomes a square.

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Homework assist | Geometry | Polygons
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·Polygon basics
·Triangles
·Quadrilaterals
·Area of polygons and also circles