Translating by a Vector

DIRECTIONS:
In the applet below,[br][br]1) Construct a triangle. [br]2) Use the VECTOR TOOL [icon]/images/ggb/toolbar/mode_vector.png[/icon] to construct any vector whose terminal points DOES NOT lie on top of its initial point. [br][br]3) Display the label of [b]the triangle's 3 vertices[/b] and [b]vector [/b]you've just constructed. [br] Use the "Name and Value" option when showing the label. [br] [br]4) Use the TRANSLATE BY VECTOR TOOL [icon]/images/ggb/toolbar/mode_translatebyvector.png[/icon] to translate the triangle by the given vector.
5)
The coordinates for points are ([i]x[/i], [i]y[/i]) and the notation for a vector is <[i]a[/i], [i]b>.[br][/i]How can we use this information to write a rule to get the coordinates for the image (also called [i]triangle A'B'C').[/i]
6)
Use the rule above to answer the question.[br]A triangle has the coordinates A(0,-5), B(2,2), and C(7,0). The vector is <1,5>. What are the coordinates for the image (triangle A'B'C')?
[color=#0000ff]When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet. [/color]
Quick (Silent) Demo
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Information: Translating by a Vector