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5.4 Parallelism Preserves and Protected

Author:Tyler Haslam

Translations

Below is a translation moving quadrilateral to quadrilateral . You can change how the quadrilateral is translated by changing the vector describing the translation's direction and distance. You can also change the original quadrilateral if you wish. Experiment with it for a bit...

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

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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

Below is a rotation moving quadrilateral to Quadrilateral . You can change how the quadrilateral is rotated by changing the center and the angle of rotation. You can also change the original quadrilateral if you wish. Experiment with it for a bit...

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.   

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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

Below is a reflection moving quadrilateral to Quadrilateral . You can change how the quadrilateral is reflected by changing the line of reflection. You can also change the original quadrilateral if you wish. Experiment with it for a bit...

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.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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.

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