Translating pictures

Task

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

1.		Make sure that you have the picture of Bart Simpson saved on your computer before you start the actual construction.
2.		Select the Image tool to insert the picture of Bart.
		Hint: GeoGebra will automatically create the first and second corner point A and B of the picture.
3.		Drag the first corner point A of the picture to position (1, 1).
4.		Create point `D = (1, 3.9)`. Hint: You can enter the coordinates directly into the Input Bar.
5.		Set point D as the FOURTH corner point of the picture. Hint: Open the Settings of the picture and select tab Position.
6.		Create a rigid triangle ABD using the Rigid Polygon tool. Hint: 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.

7.		Create points `O = (0, 0)` and `P = (3, -2)` by using the Point tool.
8.		Create vector `u = Vector(O, P)`. Hint: You can either use theVector tool or enter the command directly into the Input Bar.
9.		Translate the picture by vector u using the Translate by Vector tool. Hint: You might want to reduce the opacity of the image ( Settings, tab Color).
10.		Translate the triangle ABD by vector u. Hint: This will also translate the three corner points A, B, and D by vector u.
11.		Hide point O so it can’t be moved accidentally by using the Show / Hide Object tool.
12.		Change the color and size of objects to enhance your construction using the Style Bar.