Table of Contents

## What is a quadrilateral that has at least one pair of parallel sides?

trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you’re in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

**What is a quadrilateral that is not a parallelogram?**

trapezium

A trapezium is the quadrilateral that is not a parallelogram as its two sides are not parallel.

**What are not parallelograms?**

An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel. A Concave quadrilateral or arrowhead does not have parallel sides.

### Which of the following figures is not a parallelogram?

Finally, a trapezium is a quadrilateral with one pair of opposite sides parallel and another pair of opposite sides is non-parallel. So, from the above definitions it is clear that trapezium is not a parallelogram, as for being a parallelogram each pair of opposite sides must be equal and parallel.

**What’s the opposite sides of a parallelogram?**

Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals.

**Which of the following is a not a parallelogram?**

Trapezium is not a parallelogram as it has only one pair of parallel sides.

#### Which is not a parallelogram with no equal sides?

Explanation: An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel.

**Are there any shapes that do not have parallel sides?**

A kite is another shape that does not have parallel sides. Some shapes have many parallel sides. For example, a regular hexagon has three pairs of parallel sides. Each side is parallel to the side that is opposite to it.

**What happens when you draw two parallel sides?**

Usually one arrow is drawn on each side that is parallel. However if the shape has another set of parallel sides, then two arrows are drawn on these sides. If there is another set of parallel sides, then three arrows would be drawn etc. For example, the square below has two pairs of parallel sides.

## What kind of rectangle has two parallel sides?

We saw above that a square has two pairs of parallel sides. A square is a special type of rectangle which has all sides the same length. Below is a rectangle. A rectangle has two pairs of parallel sides. One pair of parallel sides is horizontal and the other pair of parallel sides are vertical.