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

Question

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

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

Which reason best fits statement 6?

Triangle Proportionality Theorem All sides of both the triangles are equal Corresponding parts of congruent triangles are congruent Triangle EFD has two angles which measure less than 90°

Statement Reason 1. r2 = m2 + n2 Given 2. f2 = m2 + n2 Pythagorean Theorem 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 ? 7. Triangle NRM is a right triangle Angle NRM is a right angle

Explanation / Answer

Pythagorean theorem is the answer.
Reason:we have the theorem.
If a triangle is right triangle then it satisfies the Pythagorean .
Also if any triangle have three sides satisfies the Pythagorean theorem then the triangle is right triangle.

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.