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}\\)? \\(\square\\) units

Explanation:

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

From the grid, count the units between \( C \) and \( D \). Let's assume each grid square is 1 unit. Visually, \( CD \) spans 3 units (vertical distance).

Step2: Apply dilation scale factor

Dilation scales lengths by the scale factor. The scale factor is 4, so \( C'D' = \text{scale factor} \times CD \).
\( C'D' = 4 \times 3 = 12 \)

Answer:

12