Identify if line segments AB and CD are perpendicular:
1. $\overline{AB}$ formed by $(-2,13)$ and $(0,3)$ $\overline{CD}$ formed by $(-5,0)$ and $(10,3)$

Step 1 ：We are given two line segments AB and CD. AB is formed by points A(-2,13) and B(0,3), and CD is formed by points C(-5,0) and D(10,3).

Step 2 ：To determine if these line segments are perpendicular, we need to calculate the slopes of the lines AB and CD and check if they are negative reciprocals of each other.

Step 3 ：The slope of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $\frac{y_2-y_1}{x_2-x_1}$.

Step 4 ：Let's calculate the slope of line AB. For AB, $x_1=-2$, $y_1=13$, $x_2=0$, and $y_2=3$. The slope of AB is $-5.0$.

Step 5 ：Next, let's calculate the slope of line CD. For CD, $x_1=-5$, $y_1=0$, $x_2=10$, and $y_2=3$. The slope of CD is $0.2$.

Step 6 ：Now, we check if the slopes are negative reciprocals of each other. The product of the slopes of AB and CD is $-5.0\ast 0.2=-1.0$.

Step 7 ：Since the product of the slopes is -1, the lines AB and CD are perpendicular.

Step 8 ：Final Answer: The line segments $\overline{AB}$ and $\overline{CD}$ are $\boxed{{\displaystyle perpendicular}}$.