Translating by Vector <a,b>
DIRECTIONS:
In the applet below,
1) Construct a triangle. A (2,1) B (4,1) C(3,4)
2) Use the VECTOR TOOL 
to construct any vector whose terminal points DOES NOT lie on top of its initial point.
3) Display the label of the triangle's 3 vertices and vector you've just constructed.
Use the "Name and Value" option when showing the label.
4) Use the TRANSLATE BY VECTOR TOOL 
to translate the triangle by <-6,-4>
to construct any vector whose terminal points DOES NOT lie on top of its initial point.
3) Display the label of the triangle's 3 vertices and vector you've just constructed.
Use the "Name and Value" option when showing the label.
4) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <-6,-4> 5)
Suppose the coordinates of a point P = (x, y). What is the image of P under a translation by vector with components <a, b>?
When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.
Quick (Silent) Demo
In the applet below,
1) Construct a quadrilateral A (-4, 1) B(-1,1) C (-1,5) D (-4, 5)
2) Use the VECTOR TOOL 
to construct any vector whose terminal points DOES NOT lie on top of its initial point.
3) Display the label of the triangle's 3 vertices and vector you've just constructed.
Use the "Name and Value" option when showing the label.
4) Use the TRANSLATE BY VECTOR TOOL 
to translate the triangle by <0,-3>
5) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <5,0>
6)Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <4,-5>
to construct any vector whose terminal points DOES NOT lie on top of its initial point.
3) Display the label of the triangle's 3 vertices and vector you've just constructed.
Use the "Name and Value" option when showing the label.
4) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <0,-3>
5) Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <5,0>
6)Use the TRANSLATE BY VECTOR TOOL to translate the triangle by <4,-5>
Translating the Quadrilateral ABCD by <0,-3> moved the pre-image
Translating the Quadrilateral ABCD by <5,0> moved the pre-image
Translating the Quadrilateral ABCD by <4,-5> moved the pre-image