Exploring Translations in the Coordiante Plane


In the applet below, 1) Construct a triangle. 2) Use the VECTOR TOOL Toolbar Image 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 Toolbar Image to translate the triangle by the given vector.


Suppose the coordinates of a point P = (x, y). What is the image of P under a translation by vector with components <a, b>?