No, not all parallelograms are squares. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A square, on the other hand, is a special type of parallelogram where all sides are equal in length and all angles are right angles (90 degrees).
Here are some key differences:
- Sides: In a parallelogram, opposite sides are equal but not necessarily all sides. In a square, all four sides are equal.
- Angles: In a parallelogram, opposite angles are equal but not necessarily right angles. In a square, all angles are right angles.
- Diagonals: In a parallelogram, diagonals bisect each other but are not necessarily equal in length. In a square, diagonals are equal in length and bisect each other at right angles.
Therefore, while all squares are parallelograms, not all parallelograms are squares.