I. Given: ALMN; mLL >mLN M Prove: MN > LM Proof: Indirect Proof: Assume MN LM Statements Reasons 1. By assumption MN 1. MN = LM or LM 2.Definition of MN 2. Considering LM : If MN LM then 3. Base angles of isosceles As are congruent 3. L 4. The conclusion that 4. The assumption MN IMis 7. the given that 5. Theorem 5. Considering MN < LM If MN LM Then m 7. < m 7. 6. The conclusion that m 6. The assumption is 7. m 7. Therefore, must be 7.

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