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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.)
Solved
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Ответ:
3) Obvious, the point K is on the line MJ.
6) From statement 5 and the property of fractions.
8) SAS statement of congruent triangles (notice the two triangles share on common angle which is between the two proportional sides)
9) The two corresponding sides are congruent.
10) The constant of proportionality is 2.
11) From statement 10.
Ответ:
A the answer would be A
Step-by-step explanation: