Activity #1

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.

  • Check the two boxes in the figure below to see the angles and side lengths.​
  • Drag the blue points around to see different types of a parallelogram.
  • Turn on the grid for a detail representation.
  • Answer the questions below.

Activity #2

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.

  • Move the slider slowly to the right and observe the figure.​
  • Answer the questions below.

Activity #3

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.

  • Move the points in the graph below so that the figure forms a parallelogram.​
  • Use any 1 or more of the provided tools to verify that your quadrilateral is indeed a parallelogram.
  • Answer the questions below.

Challenge #1

Challenge #2

Challenge #3