Video Transcript
True or False: The following figure represents a point 𝐷 following a translation of magnitude 𝐴𝐵 in the direction of the ray 𝐴𝐵 giving the image 𝐷 prime.
We can start our solution to this question by considering a translation of magnitude 𝐴𝐵 in the direction of the ray 𝐴𝐵. We can see that the length of 𝐴𝐵 is five units. So, the magnitude of the translation is also five units. The direction of the ray 𝐴𝐵 is horizontally to the left. So, the translation must be horizontally to the left too.
Let’s now consider the translation from 𝐷 to 𝐷 prime. The magnitude of the translation is five units, which matches the magnitude of 𝐴𝐵. However, the direction of the translation is horizontally to the right, which does not match the direction of the ray 𝐴𝐵. Therefore, we can say that our answer to this question is false.
