[size=100]Summarize the properties of an equilateral triangle before you start the 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]

[size=100]Construct an equilateral triangle 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]Create segment [i]AB[/i].[/size][/td][td][/td][td][size=100]6.[/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]ABC[/i] in counterclockwise direction.[/size][/td][/tr][tr][td][size=100]2.[/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 with center [i]A[/i] through [i]B[/i].[br][/size][/td][td][/td][td][size=100]7.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]Hide the two circles.[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Drag points [i]A[/i] and [i]B[/i] to check if the circle is connected to them.[/size][/td][td][/td][td][size=100]8.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/size][/td][td][size=100]Show the interior angles of the triangle by clicking inside the triangle.[/size][/td][/tr][tr][td][size=100]4.[/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 with center [i]B[/i] through [i]A[/i].[/size][/td][td][size=100][br][/size][/td][td][/td][td][size=100][/size][/td][td][size=100][u]Hint[/u]: If you get the exterior angles of your triangle, you probably created the polygon in clockwise direction.[/size][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Intersect both circles to get point [i]C[/i].[/size][/td][td][/td][td][size=100]9.[/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][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]