A gardener observes that a rectangular garden has four right angles. He makes the statement: “If a garden is a square, then it has four right angles.”
Another gardener suggests the converse: “If a garden has four right angles, then it is a square.”
They examine two gardens. Garden U measures 7\(m\) \( \times \) 7 \(m\), while Garden V measures \( 6 m \) \( \times\) \( 5 m\). Both gardens have four right angles.
Answer the following questions.
1. Is the original proposition true or false?
2. Is the converse true or false?
3. Which garden fails the statement of the converse?
4. Write a correct statement about the relationship between squares and rectangles.