Quadrilaterals review

CCSS Math: 4.G.A.2, 5.G.B.4
Review the following quadrilaterals: parallelogram, trapezoid, rhombus, rectangle, and square.  Then, try some practice problems.

Quadrilateral Summary

NameDefinitionExample
Quadrilateral44 sided figure
Parallelogram22 pairs of parallel sides
TrapezoidExactly 11 pair of parallel sides
Rectangle44 right angles
Rhombus44 equal sides
Square44 equal sides and 44 right angles
To learn more about each shape and practice identifying them, keep reading!

What is a quadrilateral?

A quadrilateral is a 44 sided closed figure.
These figures are quadrilaterals:
These figures are NOT quadrilaterals:

The first\redD{\text{first}} figure is not closed.
The second\goldD{\text{second}} figure has 55 sides

Practice set 1: Identifying quadrilaterals

Problem 1A
Which TWO of the following shapes are quadrilaterals?
Choose all answers that apply:
Choose all answers that apply:

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 22 pairs of parallel sides. In these figures, sides of the same color are parallel to each other.
Yes! Rectangles and squares are parallelograms.
A parallelogram is a quadrilateral with 22 pairs of parallel sides.
Rectangles and squares are quadrilaterals. Rectangles and squares have 22 pairs of parallel sides.
So, rectangles and squares are parallelograms!

Practice set 2: Identifying parallelograms

Problem 2A
Which TWO of the following shapes are parallelograms?
Choose all answers that apply:
Choose all answers that apply:

What is a trapezoid?

A trapezoid is a quadrilateral with exactly 1 pair of parallel sides\greenD{1 \text{ pair of parallel sides}}.
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?
Choose all answers that apply:
Choose all answers that apply:

What is a rectangle?

A rectangle is a quadrilateral with 44 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?
Choose all answers that apply:
Choose all answers that apply:

What is a rhombus?

A rhombus is a quadrilateral with 44 equal sides.
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?
Choose all answers that apply:
Choose all answers that apply:

What is a square?

A square is a quadrilateral with 44 equal sides and 44 right angles.
Problem 6A
Which TWO of the following shapes are squares?
Choose all answers that apply:
Choose all answers that apply:

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