Construct a letter to perform different transformations. First reflect the letter about a line, then rotate it around a point and last translate it by a vector.[br][br]Explore the construction and discover different transformations 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.[br]

[table][tr][td]1.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][br][/td][td]Create any letter using the [i]Polygon[/i] tool.[/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][/td][td]Create a segment beside your polygon using the [i]Segment[/i] tool.[br][/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_mirroratline.png[/icon][br][/td][td]Select the [i]Reflect about Line[/i] tool and reflect your letter by selecting the object and then the created segment.[/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the [i]Move[/i] tool and move the points of the segment to explore your reflection.[/td][/tr][tr][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/td][td]Create a point underneath the reflected polygon using the [i]Point[/i] tool.[/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_rotatebyangle.png[/icon][/td][td]Select the [i]Rotate around Point[/i] tool and rotate your reflected letter by selecting the object and then the created point. Select [i]clockwise[/i] in the appearing dialog. [/td][/tr][tr][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the [i]Move[/i] tool and move the point to explore your rotation.[/td][/tr][/table]

[table][tr][td]8.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_vector.png[/icon][/td][td]Create a vector below the rotated polygon using the [i]Vector[/i] tool.[/td][/tr][tr][td]9.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_translatebyvector.png[/icon][/td][td]Select the [i]Translate by Vector[/i] tool and translate your rotated letter by selecting the object and then the created vector.[/td][/tr][tr][td]10.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the [i]Move[/i] tool and move the points of the vector to explore your translation.[/td][/tr][tr][td]11.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Move any of your constructed points to explore the transformations.[/td][/tr][/table]