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...
Construct a parallelogram by following the construction steps provided below.
Try it yourself...
|1.||||Select the Line tool and create an arbitrary line AB by clicking twice in the Graphics View.|
|2.||||Create a line BC. Hint: Select point B and then click in the Graphics View in order to create point C.|
|3.||||Activate 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.||||Create a parallel line to line BC through point A.|
|5.||||Select the Intersect tool and create the intersection point D of the two lines. Hint: Click directly on the intersection point.|
|6.||||Activate 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.||||Select the Move tool and drag the vertices of the parallelogram to check if it was constructed correctly.|