Geometry

A rectangle is a square when all of its sides are the same length.

A rectangle is SOMETIMES a square.

However, a square, is ALWAYS a rectangle.

This is due to the properties held by a rectangle as well as properties of a square.

Properties of Rectangle:

• Opposite sides are congruent.
• All angles are 90o.
• Opposite sides are parallel.
• Opposite central angles created by the diagonals are congruent.
• All diagonals are congruent.

Properties of a Square:

• All sides are congruent.
• All angles are 90o.
• Opposite sides are congruent.
• Opposite sides are parallel.
• Diagonals intersect at a 90o angle.
• All diagonals are congruent.

So one can have a square that is always a rectangle due to the properties. However, a rectangle will only be a square if properties are the same as a square.

Sometimes

When all of its sides are exactly the same length.