Construct a regular hexagon that passes the [i]Drag Test[/i] by following the construction steps below.

Summarize the properties of a regular hexagon before you start your actual construction. [br][br]If you are not familiar with the construction steps necessary for a regular hexagon construction, you might want to explore the applet below. Just use the buttons of the [i]Navigation[/i][i] Bar[/i] to replay the construction steps. 

[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Create a circle [i]c[/i] with center [i]A[/i] through point [i]B[/i].[/size][/td][td][br][/td][td][size=100]7.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect the new circle [i]f[/i] with circle [i]c[/i] to get vertex [i]F[/i].[/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a new circle [i]d[/i] with center [i]B[/i] through point [i]A[/i].[/size][/td][td][br][/td][td][size=100]8.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a new circle [i]g[/i] with center [i]E[/i] through point [i]A[/i].[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect the circles [i]c[/i] and [i]d[/i] to get the hexagon’s vertices [i]C[/i] and [i]D[/i].[br][/size][/td][td][br][/td][td][size=100]9.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect the new circle [i]g[/i] with circle [i]c[/i] to get vertex [i]G[/i].[/size][/td][/tr][tr][td][size=100][/size][/td][td][size=100][/size][/td][td][size=100][b]Hint:[/b] Selecting circle [i]d[/i] and circle [i]c[/i] creates both intersection points. [/size][/td][td][br][/td][td][size=100]10.[br][/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][/size][/td][td][size=100]Draw a hexagon in counter-clockwise orientation using the intersection points of the circles.[br][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a new circle [i]e[/i] with center [i]C[/i] through point [i]A[/i].[/size][/td][td][br][/td][td][size=100]11.[br][/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]Hide the circles.[br][/size][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect the new circle [i]e[/i] with circle [i]c[/i] in order to get vertex [i]E[/i].[/size][/td][td][br][/td][td][size=100]12.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/size][/td][td][size=100]Display the interior angles of the hexagon.[/size][/td][/tr][tr][td][size=100][/size][/td][td][size=100][/size][/td][td][size=100][b]Hint:[/b] If you just want a single intersection point, click directly on the [br]intersection of the two circles.[/size][/td][td][br][/td][td][size=100][br][/size][/td][td][size=100][/size][/td][td][size=100][b]Hint:[/b] If you get the exterior angles, you probably created the hexagon in clockwise orientation.[/size][/td][/tr][tr][td][size=100]6.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Construct a new circle [i]f[/i] with center [i]D[/i] through point [i]A[/i].[/size][/td][td][br][/td][td][size=100]13.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Perform the [i]Drag Test[/i] to check whether your construction is correct.[br][br][/size][/td][/tr][/table]