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{ad}) and (overline{eh}). complete the statements. the length of (overline{ad}) is (square) units. the length of (overline{eh}) is? units. the sides have? .

Explanation:

Step1: Determine the length of $\overline{AD}$

Count the number of grid units between points A and D. From the grid, A is at the top and D is at the bottom, and they are 4 units apart (since moving vertically from A to D covers 4 grid squares). So the length of $\overline{AD}$ is 4 units.

Step2: Determine the length of $\overline{EH}$

Since translation is a rigid transformation, it preserves the length of segments. Figure ABCD is translated to EFGH, so $\overline{EH}$ corresponds to $\overline{AD}$. Thus, the length of $\overline{EH}$ is also 4 units.

Step3: Analyze the relationship between the sides

Because translation is a rigid transformation, the corresponding sides (like $\overline{AD}$ and $\overline{EH}$) have the same length (are congruent).

Answer:

The length of $\overline{AD}$ is 4 units.
The length of $\overline{EH}$ is 4 units.
The sides have the same length (or are congruent).