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Mathematics, 18.11.2020 07:50 Mariann6362

The figure below shows triangle NRM with r2 = m2 + n2: Triangle NRM has legs m and n, and r is the length of its longest side.

Ben constructed a right triangle EFD with legs m and n, as shown below:

Triangle EFD has legs m and n and hypotenuse f.

He made the following table to prove that triangle NRM is a right triangle:

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? (6 points)

AAS postulate
Pythagorean Theorem
Triangle Proportionality Theorem
SSS postulate
PLEASE HELP

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