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

283 square feet

step-by-step explanation:

good luck

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208