2. Provide reasons for the proof of the triangle proportionality theorem. Given: Line segment KL Prove: KM/JK = LN/JL Statement Reason 1. Line segment KL box line segment MN 1. Given 2. 2. 3. box JKL two boxes JMN 3. 4. JM/JK = JN/JL 4. 5. JM = JK + KM and JN = JL + LN 5. 6. JK + KM / JK = JL + LN/JL 6. 7. JK/JK + KM/JK = JL/JL + LN/JL 7. Rewrite s a sum. 8. 1 + KM/JK = 1 + LN/JL 8. Simplify. 9. KM/JK = LN/JL
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