Square vs Rectangle: Analyzing Properties of a Regular Quadrilateral

Look at the square below:

Is a square a rectangle?

In this problem, we need to determine if a square meets the criteria for being classified as a rectangle. We start by examining the definitions:

• Definition of a Rectangle: A rectangle is a quadrilateral with four right angles. Additionally, opposite sides are equal in length.
• Definition of a Square: A square is a quadrilateral where all four sides are equal in length, and all four angles are right angles.

By examining these properties, we can see the following:

• Since a square has four right angles, it satisfies the angle condition of a rectangle.
• A square has all sides equal, which means opposite sides are also equal. This satisfies the side condition of a rectangle.

Therefore, since a square fulfills both the angle and opposite sides conditions required by the definition of a rectangle, a square is indeed a rectangle.

The correct answer to the question is: Yes.