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## 5th grade (Eureka Math/EngageNY)

### Unit 5: Lesson 4

Topic D: Drawing, analysis, and classification of two-dimensional shapes# Quadrilaterals review

Review the following quadrilaterals: parallelogram, trapezoid, rhombus, rectangle, and square. Then, try some practice problems.

## Quadrilateral Summary

Name | Definition | Example |
---|---|---|

Quadrilateral | 4 sided figure | |

Parallelogram | 2 pairs of parallel sides | |

Trapezoid | Exactly 1 pair of parallel sides | |

Rectangle | 4 right angles | |

Rhombus | 4 equal sides | |

Square | 4 equal sides and 4 right angles |

To learn more about each shape and practice identifying them, keep reading!

## What is a quadrilateral?

A quadrilateral is a 4 sided closed figure.

These figures are quadrilaterals:

These figures are NOT quadrilaterals:

The start color #e84d39, start text, f, i, r, s, t, end text, end color #e84d39 figure is not closed.

The start color #e07d10, start text, s, e, c, o, n, d, end text, end color #e07d10 figure has 5 sides

The start color #e07d10, start text, s, e, c, o, n, d, end text, end color #e07d10 figure has 5 sides

## Practice set 1: Identifying quadrilaterals

*Want to learn more about quadrilaterals? Check out these videos:*

Types of quadrilaterals

Quadrilateral properties

Classifying quadrilaterals

Types of quadrilaterals

Quadrilateral properties

Classifying 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.

### Practice set 2: Identifying parallelograms

## What is a trapezoid?

A trapezoid is a quadrilateral with

**exactly start color #1fab54, 1, start text, space, p, a, i, r, space, o, f, space, p, a, r, a, l, l, e, l, space, s, i, d, e, s, end text, end color #1fab54.**## What is a rectangle?

A rectangle is a quadrilateral with 4 right angles.

## What is a rhombus?

A rhombus is a quadrilateral with 4 equal sides.

## What is a square?

A square is a quadrilateral with 4 equal sides and 4 right angles.

## Practice set 7: Pulling it all together

*Want to try more problems like this? Check out these exercises:*

Identify quadrilaterals

Quadrilateral types

Categorize quadrilaterals

## Want to join the conversation?

- why can a square be a rectangle but a rectangle can not be a square.(2 votes)
- So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.(26 votes)

- is there a way that a rectangle can be a square without cutting it(6 votes)
- yes, well technically a square is a type of rectangle(8 votes)

- What does perpendicular mean?(11 votes)
- it is two lines that intersect but make right angles(2 votes)

- how can a square be a rectangle it is just a square in't it(8 votes)
- A rectangle is just a shape that has four right (90 degree) angles and four sides where opposite sides are parallel. There’s also a special type of rectangle that also has all of the sides be the same length. We call that special type of rectangle a “square”.

I hope this helps!(2 votes)

- Hi

Why can a square be a rectangle but a rectangle can’t be a square(8 votes)- Hi the reason why a rectangle cant be a square is that a square has 4 sides and 4 right angles and NEEDS to have equal sides and a rectangle can have 4 sides 4 right angles and doesnt need to have equal sides i hope this helps(1 vote)

- Why do the shapes have the same sides but mean different things(7 votes)
- So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.(7 votes)
- how is a rectangle a square and a square a rectangle i dont understand.(6 votes)
- RIGHT I also got confused about that =(3 votes)

- it seems that a rhombus cannot be a rectangle without being a square is that true?(5 votes)
- Yes, you are correct. Good job!(5 votes)

- for all the people wondering for a square to be a rectangle it has to be because a rectangle needs to have 4 right angles which a square has but a square needs equal sides and 4 right angles wich a rectangl does not have(7 votes)