Is a Square a Rectangle?

Today is the day that you lastly learn the answer come the controversial question as to whether or no a square deserve to be a rectangle. Before we check out the critical answer come this question, let’s take a look at two really important definitions:

What is a Square?

A square is a closed number with four sides of same lengths and also four right angles.

You are watching: Rectangle that is not a square

What is a Rectangle?

A rectangle is a closed figure with 4 straight sides and also four right angles.

The subtle distinction in definitions in between a square and a rectangle is exceptionally important. Why? since this subtle distinction is the vital to determining whether or no a square is a rectangle.



So, is a square a rectangle?

The fast answer is yes! A square can be a rectangle through definition.

Now let’s explore the reasons why a square is constantly a rectangle by utilizing an analogy to cookies that will certainly make the answer very simple!

The Cookie Analogy



By definition, a cookie is a little baked treat the is generally round, flat, and also crisp.

And us all know that an Oreo is a kind of cookie (and definitely fits this definition).

But, is every cookie an Oreo?

Definitely not! one Oreo is a special form of cookie, but there are several other species of cookies consisting of sugar cookies, coco chip cookies, girl enlightenment cookies, and gingerbread cookies.

And furthermore, we deserve to conclude that:

An Oreo is a special sort of cookie.

Every Oreo is a cookie, however not every cookie is one oreo.



Now let’s expand this exact same exact form of thinking from the cookie analogy to understand why a square is a rectangle.

Every Square is a Rectangle. Here’s Why:

Remember the a rectangle is a closed number with 4 straight sides and four appropriate angles.

Does a Square right this definition? yes! A square is a special sort of closed number with 4 straight sides and four appropriate angles that also has sides the all have equal length.

Therefore, we deserve to conclude that:

A Square is a special kind of rectangle.

Every Square is a rectangle, yet not every rectangle is a square.

See more: Is A Default Gateway The Default Gateway Is Not On The Same Network Segment



Conclusion: a square is constantly a rectangle, but a rectangle is not always a square.

However, that is vital to save in mental that even though every squares room rectangles, not every rectangles are squares. Just prefer in the cookie example, all Oreos are cookies, however not every cookies are Oreos. And the exact same is true with squares and also rectangles. So, while all squares room rectangles, not all rectangles are squares.

Do you want to learn much more about why every squares are rectangles? inspect out our Is a Square a Rectangle? YouTube video clip that accompanies this post:



Do friend Want more Fun mathematics Riddles, Puzzles, and brain Teasers?

Wasn’t that fun? If you desire to take on much more brain-bending math puzzles come sharpen your mind and also improve her problem-solving skills, inspect out the links below: