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9. which statement is true about a translation? (from unit 1, lesson 12…

Question

  1. which statement is true about a translation? (from unit 1, lesson 12.) a translation rotates a line. a translation takes a line to a parallel line or itself. a translation takes a line to a perpendicular line. a translation dilates a line.

Explanation:

Brief Explanations

Translation is a type of transformation in geometry. It moves every point of a figure or space by the same distance in a given direction. It does not rotate (so option A is wrong), does not change the orientation to make it perpendicular (so option C is wrong), and does not change the length (dilation changes length, so option D is wrong). A translation either maps a line to a parallel line (if the line is moved) or to itself (if the translation vector is zero or parallel to the line).

Answer:

A translation takes a line to a parallel line or itself.