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SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 1: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 2: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Properties of Equality   

1.  ADDITION PROPERTY         + =

      If  a = b and c = d,  then __________________________________

If AB = AE, and    BC = ED

then

Page 3: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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2.    SUBTRACTION PROP       

If a = b and c = d,  then ___________________________________

If   AC = AD   and    BC = ED

then

Page 4: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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3.  MULTIPLICATION PROP        Mult =

      If a = b, and  c exists, then  ____________________________

If   AC = AD

then

Page 5: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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4.   DIVISION PROP      Div =

If a = b, and   c   0,  then 

If AC = AD,  B and E are midpoints

then AB = AE = BC = ED

Page 6: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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5.  SUBSTITUTION        Subst =

If a = b, then either may replace the other in any equation.

If  AC = AD    AC = GD

Then  AC = GD

Page 7: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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8.  TRANSITIVE PROP =

If a = b,  and b = c,   then   

If  AC = AD,  AE = GD

then AC = GD

Page 8: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 9: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 10: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 11: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 12: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 13: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 14: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 15: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 16: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 17: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 18: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 19: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 20: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 21: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 22: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 23: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 24: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 25: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 26: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 27: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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Page 28: SUBTRACTION PROPfaculty.pingry.org/vmcgrath/documents/16Ch2.1-2.4.pdfGiven Z4=Z3. Prove: < 1 6 1) Given 2) Given mZT, find its supplement and complement. mZT=4x supp = comp = 3) The

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