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## anonymous 4 years ago E (0,5), F ( -2,-1), and G ( 4,1) are vertices of a triangle. a) find the coordinates of the midpoint of EF (call it J) and EG (call it K) b) show that JK is parallel to FG c) show that JK is half the length of FG

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1. Mertsj

Do you know how to find the midpoint?

2. anonymous

yah can yu tell me if the ans is right though i got (-1,2) for the midpoint of EF

3. Mertsj

that is correct! Good job!

4. anonymous

and the midpoint of EG is (2,3)

5. anonymous

im not sure wht to do for b and c

6. Mertsj

To show that the two are parallel, show that they have the same slopes.

7. anonymous

uhm i got 1/3

8. anonymous

:/

9. Mertsj

For each one?

10. anonymous

yup

11. anonymous

i got the same slop now how abt c)

12. Mertsj

To show that c is true, find the length of each segment and show that one is twice the other. Use the distance formula.

13. anonymous

so wait.. the length of JK and FG?

14. Mertsj

Yes. Because the problem says to show that JK is half of FG.

15. anonymous

i got 10 as the length for jk can yu try it and tell me if its right

16. Mertsj

Hang on.

17. Mertsj

I believe you forgot to take the square root. I got sqrt10

18. anonymous

oh which is 3.16

19. Mertsj

I would just leave it sqrt10 and then find FG. I bet it will turn out to be 2sqrt10

20. anonymous

i actually got 40 :/

21. Mertsj

Did you remember to take the square root?

22. anonymous

6.32

23. anonymous

oh thanks :P

24. Mertsj

$\sqrt{40}=\sqrt{4(10)}=2\sqrt{10}$

25. Mertsj

yw

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