granniejo
granniejo
07.10.2019 • 
Mathematics

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.)


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

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