FTCE Professional Education Practice Exam

Is the statement "All rectangles are parallelograms" true or false?

1. True

2. False

3. Only specific types of rectangles

4. None of the above

The correct answer is: True

The statement "All rectangles are parallelograms" is true. This is because a parallelogram is defined as a quadrilateral (a four-sided figure) with opposite sides that are both equal in length and parallel. Rectangles fit this definition, as they not only have opposite sides that are equal in length, but they also have four right angles, which means that they are a specific type of parallelogram. Since every rectangle meets the criteria of having opposite sides that are parallel and equal in length, it can be classified within the broader category of parallelograms. In essence, while all rectangles are indeed parallelograms, not all parallelograms are rectangles due to the additional requirement of right angles that rectangles possess. Therefore, the correctness of the statement is grounded in the foundational definitions of these geometric shapes.