Please show all work and not just the answers.

 Answer is in the steps

Step-by-step explanation:

To determine if their are congruent ,find the distance between the points.

In AB  it has the points (-6,-4) and (-1,8)  

Now to find the distance you will have to find the difference between the x and y values then square them to add them and find the square root.

-4 - 8 = -12

-6 - (-1) = -5

12^2 + 5^2 =d^2  where d is the distance so solve for d

144 + 25 = d^2

169 =d^2

d =  

d= 13  

So we now the distance of AB is 13  

now we need to find the distance between CD

(2,5)  (14,0)  using these points follow the same steps in the first step to find the distance.

5-0= 5

2 -14 = -12

5^2 + 12^2 = d^2

25 + 144 = d^2

169 =d^2

d =  

d= 13

So using the information we can say the segments are congruent because they have the same distances .