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Statement Reason 1. r2 = m2 + n2 Given 2. f2 = m2 + n2 ? 3. f2 = r2 Substitution 4. f = r Square Root Property of Equality 5. Triangle NRM is congruent to triangle EFD SSS Postulate 6. Angle NRM is a right angle CPCTC 7. Triangle NRM is a right triangle Angle NRM is a right angle Which reason best fits statement 2?
AAS postulate Pythagorean Theorem (I think) (maybe) Triangle Proportionality Theorem SSS postulate

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Other answers:

Triangle Proportionality Theorem is the correct way of doing it
wow i suck okay thank you
  • phi
If you make a right triangle, you can say \[ 2. f^2 = m^2 + n^2 ? \] because of pythagoras
so i was right ?
  • phi
I do not see your answer.
mine is B
i used Triangle Proportionality Theorem but Pythagoras is one way
  • phi
oh, yes, that is correct
i dont know which answer to put now
B ?
  • phi
yes. The reason you can say f^2 = m^2 + n^2 is because you can use the pythagorean theorem
ok

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