Difference Between Rectangle and Trapezoid

A quadrilateral is a two-dimension structure having four sides. Thus, a rectangle and a trapezoid are also quadrilaterals having prominent differences between them. 

 One may get confused between the two terms, and questions like these may arise in his/ her mind: What are the differences between their structures? Are both of them parallelogram?

Rectangle vs Trapezoid

The main difference between a rectangle and a trapezoid is that a rectangle is a four-sided parallelogram with two pairs of parallel and equal opposite sides and four right angles. In contrast to that’ a trapezoid is a four-sided figure with only one pair of parallel opposite sides, and it may or may not have a 90° angle in it. Also, opposite sides in a trapezoid need not be equal.

Rectangle vs Trapezoid

A rectangle is a quadrilateral with four right angles. The word rectangle is derived from the Latin word ‘rectangulus’, which can be split into ‘rectus’ meaning right and ‘angulus’ meaning angle.

On the other hand, a trapezoid is a quadrilateral with a pair of parallel sides. The word trapezoid is derived from the Greek word ‘trapézion’, meaning a small table.

Comparison Table Between Rectangle and Trapezoid

Parameters of Comparison RectangleTrapezoid
DefinitionA rectangle is a four-sided parallelogram with four right angles and two pairs of parallel and equal opposite sides.A trapezoid is a quadrilateral with a pair of parallel sides and a pair of intersecting diagonals.
Derivation of the wordThe word ‘rectangle’ is derived from the Latin word ‘rectangulus’, which can be split into ‘rectus’ meaning right and ‘angulus’ meaning angle.The word ‘trapezoid’ is derived from the Greek word ‘trapézion’, meaning a small table.
ParallelogramA rectangle is a parallelogram since it has two pairs of parallel sides.A trapezoid is not a parallelogram.
Opposite sidesThe opposite sides of a rectangle are both parallel and equal in length.A pair of opposite sides of a trapezoid are parallel.
Diagonals Diagonals in a rectangle tend to be equal, and they bisect each other.Diagonals in a trapezoid need not be equal, but they surely intersect each other.
Parallel sidesThere are two parallel opposite sides in a rectangle.There is only a pair of opposite parallel sides in a trapezoid.
90° anglesThere are four 90° angles in a rectangle.There may or may not be 90° angles in a trapezoid.

What is Rectangle?

A rectangle is a quadrilateral, i.e. a four-sided figure with two pairs of parallel and equal opposite sides. It contains four 90° angles. The word ‘rectangle’ is derived from the Latin word ‘rectangulus’, which can be split into ‘rectus’ meaning right and ‘angulus’ meaning angle.

The sum of any two adjacent angles in a rectangle equals 180°, and the sum of all the angles in a rectangle equals 360°.

A square can be considered as a special type of rectangle with all the sides being equal. A rectangle is also a parallelogram since it has two pairs of parallel sides. 

Rectangle

What is Trapezoid?

A trapezoid is a quadrilateral having a pair of parallel opposite sides. Sometimes a trapezoid is strictly a quadrilateral having only a pair of parallel opposite sides.

The word ‘trapezoid’ is derived from the Greek word ‘trapézion’, meaning a small table. The diagonals in a trapezoid need not be equal.

A trapezoid is also called a trapezium many times. The sum of all the angles of a trapezoid also comes out to be 360°. A trapezoid may or may not have right angles in it.

Trapezoid

Main Differences Between Rectangle and Trapezoid

  1. A rectangle is a quadrilateral with four right angles, two equal opposite sides and two parallel opposite sides, whereas a trapezoid is a quadrilateral with just a pair of parallel opposite sides.
  2. The diagonals of a rectangle are equal, and they bisect each other, while the diagonals of a trapezoid aren’t equal, and they just intersect each other.
Difference Between Rectangle and Trapezoid

Conclusion

There are so many quadrilaterals and parallelograms in mathematics, each with its specific characters and structures. Rectangle and trapezoid both are quadrilaterals, but between the two, only a rectangle is a parallelogram while a trapezoid isn’t. 

A rectangle has two pairs of equal and opposite parallel sides, and it has four right angles, while a trapezoid has only a pair of opposite parallel sides. Diagonals bisect each other and are equal in a rectangle, while the diagonals only intersect each other in a parallelogram.

References

  1. https://pubs.nctm.org/downloadpdf/journals/mt/107/7/article-p508.pdf
  2. https://www.jstor.org/stable/30024211
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