Before moving any points around in the applet below, make a conjecture about the following question.[br][br]After a translation, corresponding line segments in an image and its pre-image are [never,[br]sometimes, always] parallel.
Line segment AB has been translated by a vector FG. The purple segment, A'B', is the image after the translation. [br][br]Drag the blue points around to change the vector, the segment AB, or the line CD. [br][br]After noticing what happens when you move the points around, answer the question below about when the segments are parallel.
Under what conditions are the corresponding line segments in an image and its pre-image parallel after a translation? That is, which word best completes this statement?[br][br]After a translation, corresponding line segments in an image and its pre-image are [never,[br]sometimes, always] parallel.[br][br]Give reasons for your answer. If you choose “sometimes”, be very clear in your explanation about how to tell when the corresponding line segments before and after the translation are parallel and when they are not.[br][br]**Also write your answer in your MVP workbook.