Parallelogram Construction
- Topic:
- Parallelogram
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. | | 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. |