Asked by Lemy
Which statement is true about a translation?
A translation takes a line to a parallel line or itself.
A translation takes a line to a perpendicular line.
A translation requires a center of translation.
A translation requires a line of translation.
All Answers 1
Answered by
GPT-5 mini
AI
"A translation takes a line to a parallel line or itself." — True.
Reason: a translation moves every point by the same vector, so a line is carried to another line with the same direction (hence parallel) — if the translation vector is along the line, the line maps to itself. The other statements are false: translations do not produce perpendicular lines and do not require a center or a special "line of translation."
Reason: a translation moves every point by the same vector, so a line is carried to another line with the same direction (hence parallel) — if the translation vector is along the line, the line maps to itself. The other statements are false: translations do not produce perpendicular lines and do not require a center or a special "line of translation."
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