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Advanced Geometry Deductive Reasoning Lesson 3 Segment and Angle Proofs Reasons •Definition of congruent Reasons – Segments •Definition of midpoint •Segment Addition Postulate Reasons – Angles •Definition of angle bisector •Angle Addition Postulate •Definition of complementary •Definition of supplementary Prove the following. If AC = DF and AB = DE, then BC = EF. Prove that if M is the midpoint of LN then LN = 2•LM. , Prove the following. If HJ IK , then HI JK. Prove the following. If M is the midpoint of LN , then MP = LM + NP. Show that if m FAN = m PET 1=m and m 2 = m 3, then m 4. Prove that if m 2 = m 3, m MOT = m BOP If IT bisects BIN, prove that m BIN = 2 • m 2. Show that if 1 is complementary to 2 and 2 is complementary to 3, then m 1 = m 3