Question

1. which statement is true about a translation? a translation takes a line to a perpendicular line. a translation requires a line of translation. a translation requires a center of translation. a translation takes a line to a parallel line or itself.

Explanation:

Step1: Recall translation properties

A translation is a rigid - motion that slides a figure. It moves every point of a figure the same distance in the same direction.

Step2: Analyze each option

• Option 1: A translation does not take a line to a perpendicular line. It preserves orientation.
• Option 2: A translation does not require a line of translation. A line of reflection requires a line of reflection, not a translation.
• Option 3: A translation does not require a center of translation. Rotations require a center of rotation.
• Option 4: By the definition of translation, it takes a line to a parallel line or itself.

Answer:

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