Question

the figure that results from a transformation is called the image. figure abcd is translated to get its image, figure efgh. look at \\(\overline{ab}\\) and \\(\overline{dc}\\), and \\(\overline{ef}\\) and \\(\overline{hg}\\). complete the statements. \\(\overline{ab}\\) and \\(\overline{dc}\\) are ? \\(\overline{ef}\\) and \\(\overline{hg}\\) are parallel, perpendicular the transformation des onto ? sides.

Explanation:

Step1: Check AB and DC

$\overline{AB}$ and $\overline{DC}$ are horizontal, so they are parallel.

Step2: Check EF and HG

$\overline{EF}$ and $\overline{HG}$ are horizontal, so they are parallel.

Step3: Transformation property

Translation preserves parallelism, mapping original sides to image sides.

Answer:

$\overline{AB}$ and $\overline{DC}$ are parallel.
$\overline{EF}$ and $\overline{HG}$ are parallel.
The transformation maps original sides onto image sides.