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Lesson 3-5: Proofs

Lesson 3-5: Proofs. State the property, postulate, definition, or theorem that justifies each conclusion. #1 If 2 x + 7 = 4 x - 5, then #2 If x = 1 and 2 x +  y = 3 Conclusions Justifications Conclusions Justifications

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Lesson 3-5: Proofs

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  1. Lesson 3-5: Proofs State the property, postulate, definition, or theorem that justifies each conclusion. #1 If 2x + 7 = 4x - 5, then #2 If x = 1 and 2x + y = 3 ConclusionsJustifications ConclusionsJustifications 7 = 2x - 5 ______________ 2 + y = 3 ______________ 12 = 2x ______________ y = 1 ______________ 6 = x ______________ y = 5 ______________ #3 M is the midpoint of AB, #4 MNO and  RST are complements AM = 2x + 7, BM = 6x - 17 m MNO =3x and mRST = 6x ConclusionsJustifications ConclusionsJustifications AM = BM ______________m MNO +mRST = 90 ______________ 2x + 7 = 6x - 17 ______________ 3x + 6x = 90 ______________ 7 = 4x - 17 ______________ x = 10 ______________ 24 = 4x ______________ m MNO =30 ______________ 6 = x ______________ AM = 19 ______________ #5 OP and OR are radii of circle O #6 m DEF=3x,m FEG = 4x - 7 and and OR = ST m DEG=42 ConclusionsJustifications ConclusionsJustifications OP = OR ______________mDEF +mFEG=mDEG______________ OP = ST ______________ 3x + 4x - 7 = 42 ______________ 7 = 4x - 17 ______________ 7x = 49 ______________ 24 = 4x ______________ x = 7 ______________ m DEF = 21 ______________

  2. #1 If 2x + 7 = 4x - 5, then #2 If x = 1 and 2x + y = 3 ConclusionsJustifications ConclusionsJustifications 7 = 2x - 5 ______________ 2 + y = 3 ______________ 12 = 2x ______________ y = 1 ______________ 6 = x ______________ y = 5 ______________ #3 M is the midpoint of AB, #4MNO and RST are complements AM = 2x + 7, BM = 6x - 17 m MNO =3x & mRST = 6x ConclusionsJustifications ConclusionsJustifications AM = BM _________m MNO +mRST = 90 _________ 2x + 7 = 6x - 17 _________ 3x + 6x = 90 _________ 7 = 4x - 17 _________ x = 10 _________ 24 = 4x __________ m MNO =30 _________ 6 = x __________ AM = 19 __________ #5 OP and OR are radii of circle O #6mDEF=3x,mFEG = 4x - 7 & and OR = ST m DEG=42 ConclusionsJustifications ConclusionsJustifications OP = OR _________mDEF +mFEG=mDEG________ OP = ST _________ 3x + 4x - 7 = 42 ________ 7 = 4x - 17 _________ 7x = 49 _______ 24 = 4x __________ x = 7 ______ m DEF = 21 ______________

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