Rhombus
Task
Construct a rhombus and explore its properties.
Explore the construction below and find out how to construct a rhombus with GeoGebra Geometry. Then try it yourself by following the instructions below.
Explore the construction...
Instructions
Note: If you're using the Mobile App make sure that the chosen Labeling option is New Points Only. You can change this by going to the Settings in the app's menu and then selecting General.
| 1. |  | Select the Segment tool and create a segment by clicking twice in the Graphics View. |
| 2. |  | Activate the Line tool and select point B from the segment and click in the Graphics View. |
| 3. |  | Select the Circle with Center tool and create a circle with midpoint B through point A. |
| 4. |  | Activate the Intersect tool and create the intersection point of the line and the circle. |
Try it yourself...
Instructions (continued)
| 5. |  | Select the Parallel Line tool and create a parallel line to the line through point A. |
| 6. | | Create a parallel line to the segment through the intersection point. |
| 7. | | Intersect the two new lines to get the fourth vertex. |
| 8. |  | Activate the Polygon tool and create the rhombus by selecting all points in counterclockwise direction. |
| 9. |  | Hide all auxiliary lines and the circle. |