FTCE General Knowledge Math Practice Test

True or False: Some rectangles are trapezoids?

1. True

2. False

3. Only if they overlap

4. Depends on definition

The correct answer is: False

To determine the accuracy of the statement "Some rectangles are trapezoids," it's important to understand the definitions of rectangles and trapezoids. A trapezoid is defined as a quadrilateral with at least one pair of parallel sides. A rectangle, on the other hand, is a specific type of quadrilateral that not only has two pairs of parallel sides (opposite sides are parallel) but also has right angles (90 degrees) at each vertex. Since all rectangles have two pairs of parallel sides, they meet the criteria for a trapezoid, as they certainly have at least one pair of parallel sides. Therefore, the statement that some rectangles are trapezoids is indeed true. The misinterpretation may arise from categorizing geometric figures strictly; however, recognizing that rectangles fall within the broader category of trapezoids illustrates that the original response missed this relation. All rectangles are trapezoids; therefore, the accurate position should reflect that rectangles indeed qualify under the broader definition of trapezoids.