Review the following quadrilaterals: parallelogram, trapezoid, rhombus, rectangle, and square. Then, try some practice problems.
Quadrilateral Summary
| Name | Definition | Example |
|---|---|---|
| Quadrilateral | ||
| Parallelogram | ||
| Trapezoid | Exactly | |
| Rectangle | ||
| Rhombus | ||
| Square |
To learn more about each shape and practice identifying them, keep reading!
What is a quadrilateral?
A quadrilateral is a
These figures are quadrilaterals:
A shape with four sides. The shape has one set of parallel sides and does not have any right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and does not have any right angles.
These figures are NOT quadrilaterals:
An open shape with five sides.
A shape with five sides of equal length.
The
The
Practice set 1: Identifying quadrilaterals
Problem 1A
Which TWO of the following shapes are quadrilaterals?
Want to learn more about quadrilaterals? Check out these videos:
Types of quadrilaterals
Quadrilateral properties
Classifying quadrilaterals
What is a parallelogram?
A parallelogram is a quadrilateral with
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
Yes! Rectangles and squares are parallelograms.
A parallelogram is a quadrilateral with
Rectangles and squares are quadrilaterals. Rectangles and squares have
So, rectangles and squares are parallelograms!
Practice set 2: Identifying parallelograms
Problem 2A
Which TWO of the following shapes are parallelograms?
What is a trapezoid?
A trapezoid is a quadrilateral with exactly
A shape with four sides. The shape has one set of parallel sides and does not have right angles.
A shape with four sides. The shape has one set of parallel sides and has two right angles.
Some sources define a trapezoid as a quadrilateral with exactly one pair of parallel sides. Other sources define a trapezoid as a quadrilateral with at least one pair of parallel sides.
All Khan Academy questions will use the first definition: a quadrilateral with exactly one pair of parallel sides.
Problem 3A
Which TWO of the following shapes are trapezoids?
What is a rectangle?
A rectangle is a quadrilateral with
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
Yes! A square is a rectangle.
A rectangle is a quadrilateral with four right angles.
Squares are quadrilaterals. Squares have four right angles.
So, squares are rectangles!
Problem 4A
Which TWO of the following shapes are rectangles?
What is a rhombus?
A rhombus is a quadrilateral with
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
Yes! A square is a rhombus.
A rhombus is a quadrilateral with all sides of equal length.
Squares are quadrilaterals. Squares have all sides of equal length.
So, squares are rhombuses!
Problem 5A
Which TWO of the following shapes are rhombuses?
What is a square?
A square is a quadrilateral with
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
Problem 6A
Which TWO of the following shapes are squares?
Practice set 7: Pulling it all together
Problem 7A
All parallelograms have opposite sides that are equal in length and parallel.
Which of these quadrilaterals are parallelograms?
The matching arrow labels indicate that two opposite sides are parallel.
Parallelogram | Not parallelogram | |
|---|---|---|
Want to try more problems like this? Check out these exercises:
Identify quadrilaterals
Quadrilateral types
Categorize quadrilaterals
