Question

the figure that results from a transformation is called the image. figure abcd is translated to get its image, figure efgh. look at ad and eh. complete the statements. the length of ad is units. the length of eh is units. the sides have.

Explanation:

Step1: Calculate the length of \( \overline{AD} \)

Count the number of units between points \( A \) and \( D \) vertically. \( A \) and \( D \) are 4 units apart.

Step2: Calculate the length of \( \overline{EH} \)

Since translation is a rigid transformation (it preserves the shape and size of the figure), the length of \( \overline{EH} \) is the same as the length of \( \overline{AD} \). So \( \overline{EH} \) is also 4 units long.

Step3: State the relationship between the sides

Because translation preserves lengths, the sides \( \overline{AD} \) and \( \overline{EH} \) are congruent (have the same length).

Answer:

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