Translation in the Cartesian Plane

Move around the copy of the two segments. Whilst you to do so, consider and then answer the following questions:
  • What result about translation in the Cartesian plane can you infer?
  • Do points stay in the same relative place?
  • Do angles stay the same size?
  • What does this mean for Corresponding angles?
  • Challenge: Can you think of a situation in which this wouldn’t work?
  • Where would translation across a surface alter relative distances and angles?