Every rectangle is a parallelogram. true or false

Answer

To determine whether the statement "Every rectangle is a parallelogram" is true or false, we can analyze the properties of both shapes.

### Step-by-Step Solution:

1. **Define a Rectangle**: A rectangle is a quadrilateral with four right angles (90 degrees). It has the following properties:
- Opposite sides are equal in length.
- Diagonals are equal in length.
- Diagonals bisect each other (but not necessarily at right angles).
- Opposite angles are equal (all angles are 90 degrees in a rectangle).

2. **Define a Parallelogram**: A parallelogram is a quadrilateral where:
- Opposite sides are equal in length.
- Opposite sides are parallel.
- Opposite angles are equal.
- Diagonals bisect each other.

3. **Compare Properties**: Now, we can compare the properties of rectangles and parallelograms:
- Both shapes have opposite sides that are equal.
- Both shapes have diagonals that bisect each other.
- In a rectangle, the diagonals are also equal, which is not a requirement for all parallelograms.
- All angles in a rectangle are right angles, while a parallelogram can have angles that are not right angles.

4. **Conclusion**: Since a rectangle satisfies all the properties of a parallelogram, we can conclude that every rectangle is indeed a parallelogram.

Therefore, the statement "Every rectangle is a parallelogram" is **True**.