Mathematics, 01.09.2020 14:01 golderhadashaowtatz
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:
StatementReason
1. r2 = m2 + n2Given
2. f2 = m2 + n2?
3. f2 = r2Substitution
4. f = rSquare Root Property of Equality
5. Triangle NRM is congruent to triangle EFDSSS Postulate
6. Angle NRM is a right angleCPCTC
7. Triangle NRM is a right triangleAngle NRM is a right angle
Which reason best fits statement 2?
AAS postulate
Pythagorean Theorem
Triangle Proportionality Theorem
SSS postulate
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The figure below shows triangle NRM with r2 = m2 + n2:
Triangle NRM has legs m and n, and r is the...
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