Rhombus

Task
Construct a rhombus and explore its properties.[br][br]Explore the construction below and find out how to construct a rhombus with [i]Geometry [/i]in [i][url=https://www.geogebra.org/calculator][i]GeoGebra Calculator Suite[/i][/url][/i]. Then try it yourself by following the instructions below.
Explore the construction...
Instructions
[b]Note:[/b] If you're using the Mobile App make sure that the chosen [i]Labeling[/i] option is [i]New Points Only[/i]. You can change this by going to the [i]Settings [/i]in the app's menu and then selecting [i]General.[/i][br][br][table][tr id=segment][td]1.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][/td][td]Select the [i]Segment [/i]tool and create a segment by clicking twice in the [i]Graphics View. [/i][/td][/tr][tr id=ray][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/td][td]Activate the [i]Line [/i]tool and select point [i]B[/i] from the segment and click in the [i]Graphics View[/i].[/td][/tr][tr id=circle][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/td][td]Select the [i]Circle with Center [/i]tool and create a circle with midpoint[i] B[/i] through point [i]A[/i]. [/td][/tr][tr id=intersect][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/td][td]Activate the [i]Intersect [/i]tool and create the intersection point of the line and the circle. [/td][/tr][/table]
Try it yourself...
Instructions (continued)
[table][tr id=parallel][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_parallel.png[/icon][/td][td]Select the [i]Parallel Line[/i] tool and create a parallel line to the line through point [i]A[/i].[/td][/tr][tr id=paral][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_parallel.png[/icon][/td][td]Create a parallel line to the segment through the intersection point. [/td][/tr][tr id=int][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/td][td]Intersect the two new lines to get the fourth vertex. [/td][/tr][tr id=rhombus][td]8.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][/td][td]Activate the [i]Polygon[/i] tool and create the rhombus by selecting all points in counterclockwise direction. [/td][/tr][tr id=checkHide][td]9.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/td][td]Hide all auxiliary lines and the circle.[br][/td][/tr][/table]

Information: Rhombus