MVP Math II 5.4 Parallelism Preserved and Protected
Translations
Under what conditions are the corresponding line segments in an image and its pre-image parallel after the translation? That is, which word best completes this statement? After a translation, corresponding line segments in an image and its pre-image are [never, sometimes, always] parallel
Give a reason for your answer. If you choose "sometimes", be very clear in your explanation how to tell when the corresponding line segments before and after the translation are parallel and when they are not.
Rotations
Under what conditions are the corresponding line segments in an image and its pre‐image parallel after a rotation? That is, which word best completes this statement? After a rotation, corresponding line segments in an image and its pre-image are [never, sometimes, always] parallel.
Give reasons for your answer. If you choose “sometimes”, be very clear in your explanation how to tell when the corresponding line segments before and after the rotation are parallel and when they are not.
Reflections
Under what conditions are the corresponding line segments in an image and its pre‐image parallel after a reflection? That is, which word best completes this statement? After a reflection, corresponding line segments in an image and its pre-image are [never, sometimes, always] parallel.
Give reasons for your answer. If you choose “sometimes” be very clear in your explanation how to tell when the corresponding line segments before and after the reflection are parallel and when they are not.