(05.01 LC) The figure below shows triangle NRM with r2 = m2 + n2.
N
m
R
n
Ben constructed a right triangle EFD with legs m and n. as shown below:
E
m
no
F
n
D
He made the following table to prove that triangle NRM is a right triangle:
Statement
Reason
Given
1.r2 = m2 +n2
2. f2 = m2 + n2
?
3. f2 = 2
Substitution
4.f=r
Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD SSS Postulate
CPCTC
6. Angle NRM is a right angle
7. Triangle NRM is a right triangle
Angle NRM is a right angle
Which reason best fits statement 2? (6 points)
O AAS postulate
Pythagorean Theorem
Triangle Proportionality Theorem
O SSS postulate

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