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State whether True or False. All recta...

State whether True or False.
All rectangles are squares.

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To determine whether the statement "All rectangles are squares" is true or false, we can analyze the definitions of rectangles and squares step by step. ### Step-by-Step Solution: 1. **Define a Rectangle**: A rectangle is a quadrilateral with opposite sides that are equal in length and all angles equal to 90 degrees. 2. **Define a Square**: A square is a special type of rectangle where all four sides are equal in length, and all angles are also equal to 90 degrees. 3. **Compare the Definitions**: - In a rectangle, only the opposite sides are equal (e.g., if one side is 4 units, the opposite side is also 4 units, but the adjacent sides can be different lengths). - In a square, all four sides must be equal (e.g., if one side is 4 units, all sides must be 4 units). 4. **Conclusion**: Since not all rectangles have all sides equal (only opposite sides are equal), it follows that not all rectangles can be classified as squares. Therefore, the statement "All rectangles are squares" is **False**. ### Final Answer: **False**
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