FTCE Professional Education Practice Exam

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

1. True

2. False

3. Only specific types of parallelograms

4. None of the above

The correct answer is: False

The statement "All parallelograms are rectangles" is false. A parallelogram is defined as a quadrilateral with opposite sides that are equal and parallel. While all rectangles are indeed parallelograms because they meet the criteria of having equal and parallel opposite sides, not all parallelograms have the properties of rectangles. For a parallelogram to be classified as a rectangle, it must have four right angles. Many parallelograms exist that do not have right angles, such as rhombuses and general skewed parallelograms. Therefore, the correct assertion recognizes that while rectangles fall under the broader category of parallelograms, the reverse is not true. This distinction highlights that parallelograms can take various forms beyond those defined as rectangles.