Question

points c and d are plotted in the coordinate plane with coordinates (1,2) and (5,6), respectively. which of the statements is true about the length of $overline{cd}$? the length of $overline{cd}$ can be found using the distance formula the length of $overline{cd}$ can be found using the midpoint formula. the length of $overline{cd}$ can be found using the standard equation of a circle. the length of $overline{cd}$ can be found using the slope formula

Explanation:

Step1: Recall formulas' purposes

The distance formula finds distance between two points, mid - point formula finds mid - point, standard equation of circle is related to circle properties, and slope formula finds slope of line through two points.

Step2: Determine correct formula for length

To find the length of a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\) in a coordinate plane, we use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Answer:

The length of \(\overline{CD}\) can be found using the distance formula.