FTCE Professional Education Practice Exam

What describes the relationship between squares and rectangles?

1. All squares are rectangles

2. Some squares are rectangles

3. No squares are rectangles

4. Only large squares are rectangles

The correct answer is: All squares are rectangles

The correct answer is that all squares are rectangles because by definition, a rectangle is a quadrilateral with four right angles. A square meets this criterion as it has four right angles; in addition, it also has all four sides of equal length. This means that a square fulfills all the properties of a rectangle, making it a specific type of rectangle. While it is true that all squares qualify as rectangles, the concept does not support the idea of only some squares being rectangles or only large squares fitting the definition, as these statements contradict the standard geometric definitions. Therefore, the answer that all squares are rectangles is the most accurate representation of their relationship.