Question

find the length of side $overline{cd}$ for the quadrilateral shown.

Explanation:

Step1: Identify coordinates

Let \(C=(5,7)\) and \(D=(5,1)\)

Step2: Apply distance formula for vertical line

Since \(x - \)coordinates of \(C\) and \(D\) are the same (\(x_1=x_2 = 5\)), the distance \(d=\vert y_1 - y_2\vert\). Here \(y_1 = 7\) and \(y_2=1\), so \(d=\vert7 - 1\vert=6\).

Answer:

6