Create an interactive 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]https://tube.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][br][/td] [td]Create a point [i]A[/i] at the coordinates [i]A = (1, 1)[/i] using the [i]Point [/i]tool.[br][/td][/tr] [tr] [td]3.[/td] [td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_image.png[/icon][br][/td] [td]Select the [i]Image[/i] tool and click on point [i]A[/i] in order to insert the picture of Bart at this position.[br][/td][/tr][tr][td][br][/td] [td][br][/td] [td][u]Hint[/u]: GeoGebra will automatically create the second corner point [i]B[/i] of the picture.[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][u]Hint[/u]: you might want to enter the coordinates directly into the [i]Algebra Input[/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](Properties dialog,[/i] tab [i]Position)[/i].[/td][/tr] [tr] [td]6.[/td] [td][icon]/images/ggb/toolbar/mode_rigidpolygon.png[/icon][/td] [td]Create a rigid triangle [i]ABD[/i] using tool [i]Rigid Polygon[/i].[br][u]Hint[/u]: The resulting polygon will keep its shape when moved. It can be moved or rotated by dragging two vertices.[/td][/tr] [/table]

[br][table][tr][td]7.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][br][/td][td]Create points [code]O = (0, 0)[/code] and [code]P = (3, -2)[/code].[/td][/tr][tr][td]8.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_vector.png[/icon][/td][td]Create vector [code]u = Vector[O, P][/code].[br][u]Hint[/u]: You may either use tool [i]Vector[/i] or enter the command directly in the [i]Algebra Input[/i].[/td][/tr][tr][td]9.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_translatebyvector.png[/icon][/td][td]Translate the picture by vector [i]u[/i] using tool [i]Translate by Vector[/i].[br][u]Hint[/u]: You might want to reduce the opacity of the image ([i]Properties[/i] dialog, tab [i]Color[/i]).[/td][/tr][tr][td]10.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_translatebyvector.png[/icon][/td][td]Translate the triangle [i]ABD[/i] by vector u.[br][u]Hint[/u]: 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]https://tube.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/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]