Create an activity that allows you to translate a picture by a given vector and explore the characteristics of a translation.

[table][tr][td]1.[/td][td][br][/td][td]Make sure that you have the [url=http://static.geogebra.org/book/intro-en/worksheets/Bart.png]picture of Bart Simpson[/url] saved on your computer before you start the actual construction.[br][/td][/tr][tr][td]2.[/td][td][icon]/images/ggb/toolbar/mode_image.png[/icon][br][/td][td]Select the [i]Image[/i] tool to insert the picture of Bart. [br][/td][/tr][tr][td][br][/td][td][br][br][/td][td][b]Hint:[/b] [i]GeoGebra [/i]will automatically create the first and second corner point [i]A[/i] and [i]B[/i] of the picture.[br][/td][/tr][tr][td]3.[br][/td][td][br][/td][td]Drag the first corner point [i]A[/i] of the picture to position (1, 1).[br][/td][/tr][tr][td]4.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][br][/td][td]Create point [code]D = (1, 3.9)[/code].[br][b]Hint:[/b] You can enter the coordinates directly into the[i] Input Bar[/i].[/td][/tr][tr][td]5.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/120px-Menu-options.svg.png[/icon][/td][td]Set point [i]D[/i] as the FOURTH corner point of the picture[i].[br][/i][b]Hint:[/b] Open the [i]Settings [/i]of the picture and select tab [i]Position[/i].[/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_rigidpolygon.png[/icon][/td][td]Create a rigid triangle [i]ABD[/i] using the [i]Rigid Polygon [/i]tool.[br][b]Hint:[/b] Close the polygon by selecting the first point again. The resulting polygon will keep its shape when moved. It can be moved or rotated by dragging two vertices.[/td][/tr][/table]

[table][tr][td]7.[/td][td][icon]/images/ggb/toolbar/mode_point.png[/icon][br][/td][td]Create points [code]O = (0, 0)[/code] and [code]P = (3, -2)[/code] by using the [i]Point[/i] tool.[/td][/tr][tr][td]8.[/td][td][icon]/images/ggb/toolbar/mode_vector.png[/icon][br][/td][td]Create vector [code]u = Vector(O, P)[br][/code].[br][b]Hint:[/b] You can either use the[i]Vector [/i]tool or enter the command directly into the[i] Input Bar[/i].[/td][/tr][tr][td]9.[/td][td][icon]/images/ggb/toolbar/mode_translatebyvector.png[/icon][br][/td][td]Translate the picture by vector [i]u[/i] using the [i]Translate by Vector [/i]tool.[br][b]Hint:[/b] You might want to reduce the opacity of the image ([img]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] [i]Settings[/i], tab [i]Color[/i]).[/td][/tr][tr][td]10.[/td][td][icon]/images/ggb/toolbar/mode_translatebyvector.png[/icon][br][/td][td]Translate the triangle [i]ABD[/i] by vector [i]u[/i].[br][b]Hint:[/b] This will also translate the three corner points [i]A, B,[/i] and [i]D[/i] by vector [i]u[/i].[/td][/tr][tr][td]11.[/td][td][icon]/images/ggb/toolbar/mode_showhideobject.png[/icon][br][/td][td]Hide point [i]O[/i] so it can’t be moved accidentally by using the [i]Show / Hide Object[/i] tool.[/td][/tr][tr][td]12.[/td][td][img]https://www.geogebra.org/wiki/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Change the color and size of objects to enhance your construction using the [i]Style Bar[/i].[/td][/tr][/table]