Provide reasons for the proof of the triangle proportionality theorem. Given: Line segment KL Prove: KM/JK = LN/JL Statement Reason 1. Line segment…
2.Provide reasons for the proof of the triangle proportionality theorem.
Given: Line segment KL
Prove: KM/JK = LN/JL
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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
9.