Is a rectangle a square, but a square not a rectangle?

This statement is actually a common misconception. Let’s break it down:

A rectangle is defined as a four-sided shape (quadrilateral) where each angle is a right angle (90 degrees). A square is a specific type of rectangle where all four sides are equal in length. So, every square is indeed a rectangle because it meets the definition of having right angles.

However, not every rectangle is a square. A rectangle can have different lengths for its sides, as long as it maintains those right angles. Therefore, while a rectangle can be a square if it has all equal sides, a square cannot be considered a rectangle without fulfilling the condition of having equal side lengths.

In summary, the correct statement would be: Every square is a rectangle, but not every rectangle is a square.

More Related Questions