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What can you say about a line or line segment before and after a translation ?

User Bitterblue
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Final answer:

A line or line segment retains its length and orientation after a translation but its position changes. The shape and parallelism with other lines remain unchanged, demonstrating the consistency of geometric properties under this type of transformation.

Step-by-step explanation:

When a line or line segment undergoes a translation, there are specific characteristics that remain unchanged. A translation is a type of transformation that slides every point of a shape the same distance in the same direction. The line or line segment before and after a translation will have the following properties:

  • The length of a line segment remains the same after translation.
  • The orientation (slope) of a line or line segment remains the same after translation.
  • The position of the line or line segment changes, but its parallelism relative to other lines is maintained.

In other words, a line or line segment will still have the same properties regarding its shape and orientation; only its location in the plane is different after a translation. For example, if a line segment is 5 cm long before translation, it will still be 5 cm long after translation. If two line segments are parallel before a translation, they will continue to be parallel after the translation has occurred.

User Will Bradley
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