Translations of Lines

Translate the Line

Draw a short vector somewhere not on Line AB. Use your vector as the translation vector to translate both Line AB and its slope triangle.

Question 1

How do the slopes of Line AB and Line A'B' compare? Why?

Question 2

Change your translation vector and observe what happens. How would you describe the image of Line AB when the translation vector is in the same direction as the line versus when it is not?

Further Exploration:

1. Change the original line by moving Points A and B. Do the relationships you noticed before still hold? 2. Draw a point somewhere not on Line AB. Find a translation vector so that the image line goes through the point you draw.