Check whether the statement is true or not: "Every square is a rectangle."

Answer

To determine whether the statement "Every square is a rectangle" is true, we can analyze the definitions of both a square and a rectangle.

### Step-by-Step Solution:

1. **Definition of a Rectangle**:
- A rectangle is defined as a four-sided polygon (quadrilateral) where opposite sides are equal in length and all interior angles are right angles (90 degrees).
- This means that if we have a rectangle ABCD, then:
- AB = CD (opposite sides are equal)
- AD = BC (opposite sides are equal)
- ∠A = ∠B = ∠C = ∠D = 90 degrees.

2. **Definition of a Square**:
- A square is also a four-sided polygon (quadrilateral) where all four sides are equal in length and all interior angles are right angles (90 degrees).
- This means that if we have a square PQRS, then:
- PQ = QR = RS = SP (all sides are equal)
- ∠P = ∠Q = ∠R = ∠S = 90 degrees.

3. **Comparison**:
- From the definitions, we can see that a square satisfies all the conditions of a rectangle:
- It has four sides.
- Opposite sides are equal (in fact, all sides are equal).
- All angles are right angles.
- Therefore, every square can be classified as a rectangle because it meets all the criteria required for a rectangle.

4. **Conclusion**:
- Since a square fulfills the definition of a rectangle, we can conclude that the statement "Every square is a rectangle" is true.

### Final Answer:
The statement "Every square is a rectangle" is **True**.

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