What is the length of the mid segment of this trapezoid ; a(-2,4) b(4,3) c(4,-5) d(-2,-2)

Step-by-step explanation:

we have

a(-2,4), b(4,3), c(4,-5), d(-2,-2)

step 1

Plot the vertices to better understand the problem

using a graphing tool

The graph in the attached figure

step 2

Find the mid-segment parallel to ad and bc

Note : The mid-segment is parallel to the parallel bases of trapezoid

Let

e ---> midpoint segment ab

f ---> midpoint segment cd

The formula to calculate the midpoint between two points is equal to

Find the midpoint e

we have

a(-2,4) and b(4,3)

substitute the given values

Find the midpoint f

we have

c(4,-5), d(-2,-2)

substitute the given values

step 3

Find the length of the mid-segment ef

we have

the formula to calculate the distance between two points is equal to

substitute

x=30

step-by-step explanation:

i would need to see the dot plot : )