Investigate the Different Types of Parallelograms.
Parallelograms are classified into three main types: square, rectangle, and rhombus, and each of them has its own unique properties.
Investigate the Properties of a Parallelogram.
A parallelogram with all four sides equal in length is called a rhombus. If all four angles of a parallelogram are equal, then each angle equals 90°, and the figure is a RECTANGLE. A parallelogram that is both equilateral and equiangular is a SQUARE.
Investigate if a Figure is a Parallelogram.
An examination of alternate angles across parallel lines quickly shows that opposite angles in a parallelogram are equal and that adjacent angles are supplementary, that is, sum to 180°. The parallelogram is the only quadrilateral with this property. The DIAGONALs of a parallelogram bisect one another, and again the parallelogram is the only quadrilateral that has this property.