3. Construct an Argument Your friend says a shape is a 1. rectangle. Newton says the same shape is a rhombus, and Descartes says it is a square. Can they all be correct? Explain

Ah, the delightful world of geometry! In this case, they can all be correct, but only under specific conditions. A square is indeed a special type of rectangle with all sides equal and all angles right angles. A rhombus, on the other hand, is defined as having all sides equal but without the requirement of right angles. So, if the shape in question has equal sides and right angles, it is a square (and thus a rectangle); if it has equal sides with no right angles, it’s a rhombus. It’s all about the specifics! When constructing an argument, it’s key to define terms properly to avoid confusion. Each philosopher's perspective can be viewed as valid within their geometric context, but clarity is essential. A common mistake is to conflate these terms without understanding the properties that differentiate them. Always remember: context and definitions are crucial in math debates!