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

NameDefinitionExample
Quadrilateral$4$ sided figure
Parallelogram$2$ pairs of parallel sides
TrapezoidExactly $1$ pair of parallel sides
Rectangle$4$ right angles
Rhombus$4$ equal sides
Square$4$ equal sides and $4$ right angles

A quadrilateral is a $4$ sided closed figure.

The $\redD{\text{first}}$ figure is not closed.
The $\goldD{\text{second}}$ figure has $5$ sides

## Practice set 1: Identifying quadrilaterals

Problem 1A
Which TWO of the following shapes are quadrilaterals?

### What is a parallelogram?

A parallelogram is a quadrilateral with $2$ 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 $2$ pairs of parallel sides.
Rectangles and squares are quadrilaterals. Rectangles and squares have $2$ 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?

## What is a trapezoid?

A trapezoid is a quadrilateral with exactly $\greenD{1 \text{ pair of parallel sides}}$.
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?

## What is a rectangle?

A rectangle is a quadrilateral with $4$ 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 $4$ 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?

## What is a square?

A square is a quadrilateral with $4$ equal sides and $4$ 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: