Translation
Rigid Motions: Translation
On the coordinate grid above I have created an example of a translation, which is another of the three rigid motions. In geometry, a translation is defined as a figure that moves along a vector where each vertex is moved the same distance in the same direction. My translation example displays the pre-image of figure ABCDEFGHIJ in quadrant one and the image of figure A'B'C'D'E'F'G'H'I'J' in quadrant four. It is shown that figure ABCDEFGHIJ in quadrant one was translated 3 units to the right and 7 units down (T<3,-7>), which is now figure A'B'C'D'E'F'G'H'I'J' in quadrant four. If a coordinate plane was not used, the translation of figure ABCDEFGHIJ could be verified as accurate, because each vertex moved the same distance and in the same direction, in which are key aspects in forming the translation. In order to construct the translated image, the points of the pre-image moved parallel to the vector of the translation. Therefore, this translation is precise.