why can a square be a rectangle but a rectangle can not be a square.

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.

is there a way that a rectangle can be a square without cutting it

yes, well technically a square is a type of rectangle

how can a square be a rectangle it is just a square in't it

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!

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5th grade (Eureka Math/EngageNY)

Course: 5th grade (Eureka Math/EngageNY) > Unit 5

Lesson 4: Topic D: Drawing, analysis, and classification of two-dimensional shapes

Quadrilaterals review

Google Classroom

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

Practice set 1: Identifying quadrilaterals

Problem 1A

Current

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 2 pairs of parallel sides. In these figures, sides of the same color are parallel to each other.

[Isn't the second shape a rectangle and the third shape a square?]

Practice set 2: Identifying parallelograms

Problem 2A

Current

Which TWO of the following shapes are 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.

[Other definitions for trapezoid.]

Problem 3A

Current

Which TWO of the following shapes are trapezoids?

What is a rectangle?

A rectangle is a quadrilateral with 4 right angles.

[Isn't the first shape a square?]

Problem 4A

Current

Which TWO of the following shapes are rectangles?

What is a rhombus?

A rhombus is a quadrilateral with 4 equal sides.

[Isn't the second shape a square?]

Problem 5A

Current

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

Current

Which TWO of the following shapes are squares?

Practice set 7: Pulling it all together

Problem 7A

Current

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

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why can a square be a rectangle but a rectangle can not be a square.
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- Jack lol
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  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.
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  yes, well technically a square is a type of rectangle
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how can a square be a rectangle it is just a square in't it
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- Johanna
  Posted 2 years ago. Direct link to Johanna's post “A rectangle is just a sha...”
  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!
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can 10 people vote this up please
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Hi
Why can a square be a rectangle but a rectangle can’t be a square
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- Lexi:)
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  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
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