Parallelogram Construction

Explore the geometric properties of a parallelogram

Summarize the properties of a parallelogram before you start your actual construction.  Hint: If you are not familiar with the construction steps necessary for a parallelogram construction, you might want to explore the applet below. Just use the buttons of the Navigation Bar in order to replay the construction steps. 

Explore the construction...

Task

Construct a parallelogram by following the construction steps provided below.

Try it yourself...

Instructions

1.Toolbar ImageSelect the Line tool and create an arbitrary line AB by clicking twice in the Graphics View.
2.Toolbar ImageCreate a line BC. Hint: Select point B and then click in the Graphics View in order to create point C.
3.Toolbar ImageActivate the Parallel Line tool and create a parallel line to line AB through point C. Hint: Select the line AB and then point C.
4.Toolbar ImageCreate a parallel line to line BC through point A.
5.Toolbar ImageSelect the Intersect tool and create the intersection point D of the two lines. Hint: Click directly on the intersection point.
6.Toolbar ImageActivate the Polygon tool and create the parallelogram ABCD by successively selecting all the vertices. Note: In order to close your polygon, select the first point again.
7.Toolbar ImageSelect the Move tool and drag the vertices of the parallelogram to check if it was constructed correctly.