Question

1. translate (l_1) and (l_2) along vector (overrightarrow{de}). label the images of the lines. if lines (l_1) and (l_2) are parallel, what do you know about their translated images?

Explanation:

Step1: Recall property of translation

Translation is a rigid - motion that preserves parallelism.

Step2: Analyze parallel lines after translation

If \(L_1\) and \(L_2\) are parallel, when they are translated along the same vector \(\overrightarrow{DE}\), the distance between any two corresponding points on \(L_1\) and \(L_2\) remains the same after translation. So, their translated images are also parallel.

Answer:

The translated images of \(L_1\) and \(L_2\) are parallel.