Why Are All Squares Rectangles

Is a Square a Rectangle?

Today is the day that you finally acquire the respond to the controversial question as to whether or not a foursquare tin be a rectangle. Earlier we explore the definitive answer to this question, let'due south take a look at ii very important definitions:

What is a Foursquare?

A square is a closed figure with 4 sides of equal lengths and four right angles.

What is a Rectangle?

A rectangle is a closed effigy with four straight sides and four right angles.

The subtle difference in definitions between a square and a rectangle is extremely important. Why? Because this subtle difference is the primal to determining whether or not a square is a rectangle.

So, is a foursquare a rectangle?

The quick respond is Yeah! A square can exist a rectangle by definition.

Now let's explore the reasons why a square is ever a rectangle by using an analogy to cookies that will brand the reply very unproblematic!

The Cookie Analogy

Past definition, a cookie is a modest baked treat that is typically circular, flat, and crisp.

And we all know that an Oreo is a blazon of cookie (and certainly fits this definition).

Only, is every cookie an Oreo?

Definitely non! An Oreo is a special type of cookie, but there are lots of other types of cookies including sugar cookies, chocolate chip cookies, girl scout cookies, and gingerbread cookies.

And furthermore, we can conclude that:

An Oreo is a special kind of cookie.
Every Oreo is a cookie, but non every cookie is an oreo.

Now permit's extend this same exact blazon of thinking from the cookie analogy to understand why a square is a rectangle.

Every Square is a Rectangle. Hither's Why:

Remember that a rectangle is a closed effigy with 4 straight sides and four right angles.

Does a Square fit this definition? Yes! A square is a special kind of closed figure with iv straight sides and four correct angles that also has sides that all take equal length.

Therefore, we can conclude that:

A Square is a special kind of rectangle.
Every Square is a rectangle, but not every rectangle is a square.

Conclusion: a square is e'er a rectangle, but a rectangle is non ever a square.

However, information technology is important to go on in mind that even though all squares are rectangles, non all rectangles are squares. Just like in the cookie case, all Oreos are cookies, but not all cookies are Oreos. And the same is true with squares and rectangles. Then, while all squares are rectangles, not all rectangles are squares.

Do you desire to learn more about why all squares are rectangles? Cheque out our Is a Foursquare a Rectangle? YouTube video that accompanies this postal service:

Practice YOU Want More Fun Math Riddles, Puzzles, and Encephalon Teasers?

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