[size=100]Summarize the properties of a square before you start your actual construction. [br][br][u]Hint[/u]: If you are not familiar with the construction steps necessary for a square 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]

[size=100]Construct a square that passes the Drag Test by following the construction steps provided below.[/size]

[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]Draw the segment [i]a = AB[/i] between points [i]A[/i] and [i]B[/i].[/size][/td][td][/td][td][size=100]7.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect the perpendicular line [i]d[/i] with circle [i]e[/i] to get the intersection points [i]E[/i] and [i]F[/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]Construct a perpendicular line [i]b[/i] to segment [i]AB[/i] through point [i]B[/i].[/size][/td][td][/td][td][size=100]8.[/size][/td][td][size=100][center][icon]https://wiki.geogebra.org/uploads/thumb/8/84/Menu-edit-rename.svg/32px-Menu-edit-rename.svg.png[/icon][/center][/size][/td][td][size=100]Rename point [i]E[/i] so it is called [i]D[/i].[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a circle [i]c[/i] with center [i]B[/i] through point [i]A[/i].[/size][/td][td][/td][td][size=100]9.[/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][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect the perpendicular line [i]b[/i] with the circle [i]c[/i] to get the intersection points [i]C[/i] and [i]D[/i].[/size][/td][td][/td][td][size=100]10.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]Hide circles and perpendicular lines.[/size][/td][/tr][tr][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]Construct a perpendicular line [i]d[/i] to segment [i]AB[/i] through point [i]A[/i].[/size][/td][td][/td][td][size=100]11.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Perform the Drag Test to check if your construction is correct.[/size][/td][/tr][tr][td][size=100]6.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a circle [i]e[/i] with center [i]A[/i] through point [i]B[/i].[/size][/td][td][/td][td][size=100]12.[/size][/td][td][size=100][center][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/center][/size][/td][td][size=100]Enhance your construction using the [i]Style Bar[/i].[/size][/td][/tr][/table][size=100][u][br]Hint[/u]: You might want to [url=https://tube.geogebra.org/student/mJoZDI7Zo]save your construction[/url] using the [img]https://wiki.geogebra.org/uploads/thumb/0/09/Menu-file.svg/16px-Menu-file.svg.png[/img] [i]File[/i] menu.[/size]

[size=100]Can you come up with a different way of constructing a square? Write down your construction steps and try them out.[br][br][/size]