Question

quadrilateral abcd is the image of quadrilateral abcd under a dilation with a scale factor of 4. what is the length of segment \\(\overline{cd}\\)?

Explanation:

Step1: Find length of \( \overline{CD} \)

From the grid, \( \overline{CD} \) is vertical, spanning 2 units (e.g., from y - coordinate difference). So \( CD = 2 \).

Step2: Apply dilation scale factor

Dilation scale factor \( k = 4 \). Length of image segment \( C'D' = k \times CD \).
Substitute \( k = 4 \) and \( CD = 2 \): \( C'D' = 4 \times 2 = 8 \).

Answer:

8