Question

the figure that results from a transformation is called the image. figure abcd is translated to get its image, figure efgh. look at ab and dc, and ef and hg. complete the statements. ab and dc are? ef and hg are? the transformation maps parallel sides onto? sides.

Explanation:

Step1: Analyze the relationship between \( \overline{AB} \) and \( \overline{DC} \)

In figure \( ABCD \), \( \overline{AB} \) and \( \overline{DC} \) are parallel.

Step2: Analyze the relationship between \( \overline{EF} \) and \( \overline{HG} \)

Since figure \( EFGH \) is the translation of figure \( ABCD \), and translation preserves parallelism. So \( \overline{EF} \) and \( \overline{HG} \) are parallel.

Step3: Analyze the property of translation for parallel sides

Translation is a rigid transformation. Rigid transformations (including translation) preserve the parallel - ness of line segments. So the transformation maps parallel sides onto parallel sides.

Answer:

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