FTCE General Knowledge Math Practice Test

The statement "All quadrilaterals are parallelograms" is false. A quadrilateral is defined as a polygon with four sides, whereas a parallelogram is a specific type of quadrilateral where opposite sides are both parallel and of equal length.

Examples of quadrilaterals that are not parallelograms include rectangles, trapezoids, and irregular quadrilaterals. For instance, a trapezoid only has one pair of parallel sides and does not fulfill the criteria to be classified as a parallelogram. Since not every quadrilateral meets the defining properties of a parallelogram, the assertion that all quadrilaterals are parallelograms is incorrect. This demonstrates a clear distinction between the two categories, emphasizing that there are quadrilaterals that do not exhibit the parallelism characteristic of parallelograms.