Question

what is the length of segment $overline{cd}$? units

Explanation:

Step1: Count the grid - squares

Assume each grid - square has a side - length of 1 unit. Count the vertical and horizontal displacements between points C and D. The vertical displacement is 4 units and the horizontal displacement is 0 units.

Step2: Apply the distance formula

Since the points C and D are on a vertical line (horizontal displacement = 0), the length of the line - segment \(CD\) is equal to the absolute value of the difference in their y - coordinates. In this case, the length of segment \(CD\) is 4 units. If \(C'D'\) is the image of \(CD\) under a transformation (assuming no information about non - congruent transformation is given, we assume congruence), the length of \(C'D'\) is the same as the length of \(CD\).

Answer:

4