Square vs Parallelogram: Understanding Geometric Classification

Look at the square below:

Is a square a parallelogram?

To determine if a square is a parallelogram, we must first define both geometric shapes.

• Square: A square is a quadrilateral with four equal sides and four right angles. This means that all angles are $90^\circ$ and each pair of opposite sides are parallel.
• Parallelogram: A parallelogram is a quadrilateral where opposite sides are parallel and equal in length. It does not necessarily require right angles.

Now, let's see if a square fits the definition of a parallelogram:

• The square has opposite sides that are both parallel and equal, satisfying the definition of a parallelogram.
• Although a square also has additional properties, such as all angles being right angles and all sides being equal, these characteristics do not contradict the definition of a parallelogram.

Since a square satisfies all the conditions required for a parallelogram, we conclude that a square is indeed a type of parallelogram.

Therefore, the answer to the problem is Yes.