Rectangle Construction

Explore the geometric properties of a rectangle
[list][/list][size=100]Summarize the properties of a rectangle before you start your actual construction. [br][br][u]Hint[/u]: If you are not familiar with the construction steps necessary for a rectangle construction, you might want to explore the applet below. Just use the buttons of the [i]Navigation[/i][i] Bar[/i] in order to replay the construction steps. [/size]
Task
[size=100]Construct a rectangle that passes the Drag Test by following the construction steps provided below.[/size]
Try it yourself...
Construction steps
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][/size][/td][td][size=100]Create segment [i]AB.[/i][/size][/td][td][/td][td][size=100]5.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_orthogonal.png[/icon][/size][/td][td][size=100]Create a perpendicular line to segment [i]AB[/i] through point [i]A.[/i][/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_orthogonal.png[/icon][/size][/td][td][size=100]Create a perpendicular line to segment [i]AB[/i] through point [i]B.[/i][/size][/td][td][/td][td][size=100]6.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Construct intersection point [i]D.[/i][/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_pointonobject.png[/icon][/size][/td][td][size=100]Create a new point [i]C [/i]on the [br]perpendicular line.[/size][/td][td][/td][td][size=100]7.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][/size][/td][td][size=100]Create the polygon [i]ABCD.[/i][br][u]Hint[/u]: To close the polygon click on the first vertex again.[/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_parallel.png[/icon][/size][/td][td][size=100]Construct a parallel line to segment [i]AB[/i] through point [i]C.[/i][/size][/td][td][/td][td][size=100]8.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Apply the Drag Test to check if the construction is correct.[/size][/td][/tr][/table][size=100][br][u]Hint[/u]: You might want to [url=https://tube.geogebra.org/student/mJoZDI7Zo]save your construction[/url] using the [i]File [/i]menu.[/size]
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Information: Rectangle Construction