Translating Pictures

Task
Create an interactive activity that allows you to translate a picture by a given vector and explore the characteristics of a translation.
Instructions
1. Make sure that you have the picture of Bart Simpson saved on your computer before you start the actual construction.
2. Create a point A at the coordinates A = (1, 1) using the Point tool.
3. Select the Image tool and click on point A in order to insert the picture of Bart at this position.
Hint: GeoGebra will automatically create the second corner point B of the picture.
4. Create point D = (1, 3.9). Hint: you might want to enter the coordinates directly into the Algebra Input.
5. Set point D as the FOURTH corner point of the picture (Properties dialog, tab Position).
6. Create a rigid triangle ABD using tool Rigid Polygon. Hint: The resulting polygon will keep its shape when moved. It can be moved or rotated by dragging two vertices.
Try it yourself...
Instructions (continued)
7. Create points O = (0, 0) and P = (3, -2).
8.Create vector u = Vector[O, P]. Hint: You may either use tool Vector or enter the command directly in the Algebra Input.
9.Translate the picture by vector u using tool Translate by Vector. Hint: You might want to reduce the opacity of the image (Properties dialog, 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.
Back to school...
Move the translation vector by dragging point P.
  • Try to find at least one vector that moves the translated image into the second quadrant of the coordinate system and write it down. 
  • Also, find vectors that move the translated image into the third and fourth quadrant. 
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• Unordered list
1. Ordered list
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
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Insert image [ctrl+shift+1]
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[bbcode]
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  • Find the vector that moves the translated image of Bart exactly on top of the original picture and write it down.
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font color
Auto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Close

Information: Translating Pictures