Question

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 ? the transformation maps parallel sides onto ? sides. parallel perpendicular

Explanation:

Step1: Identify AB and DC relationship

$\overline{AB}$ and $\overline{DC}$ are horizontal segments on the grid, so they never intersect and have the same slope.

Step2: Identify EF and HG relationship

$\overline{EF}$ and $\overline{HG}$ are horizontal segments on the grid, so they never intersect and have the same slope.

Step3: Analyze transformation effect

The figure ABCD is mapped to EFGH via a translation (a rigid transformation), which preserves parallelism.

Answer:

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