Provide the missing reasons for the proof of part of the triangle midsegment theorem.

given: k is the midpoint of mj. l is the midpoint of nj.

prove: mn = 2kl

statement:
1.) k is the midpoint of mj. l is the midpoint of nj.

2.) mk ≅ kj and nl ≅ lj

3.) mk = kj and nl = lj

4.) mj = mk + kj and nj = nl + lj

5.) mj = 2kj and nj = 2lj

6.) mj/kj = nj/lj = 2

7.)
8.) triangle jmn ~ triangle jkl

9.) mn/kl = mj/kj

10.) mn/kl = 2

11.) mn = 2kl

reason:

1.) given
2.)
3.)
4.)
5.) substitution property of equality
6.) division property of equality
7.)
8.)
9.)
10.)
11.)