Deductive ReasoningThe proof is in the pudding.Indubitably.Je solve le crime. Pompt de pompt pompt." Le pompt de pompt le solve de crime!"

2.2cWritten Ex.Justify each step.124x 5 = - 24x = 3The question you need to ask isWhat did I do to get to the next step?GivenGivenAddition Prop. Of EqualityMultiplication Prop. Of EqualityDivision Prop. Of Eq.Division Prop. Of Eq.+5 +5___ __ 4 42 2 3 3

Justify each step.34Z + 7 = - 33z = - 4015y + 7 = 12 20y35y + 7 = 1235y = 5GivenGivenMultiplication Prop. Of EqualitySubtr. Prop. Of EqualityAddition Prop. Of EqualitySubtr. Prop. Of EqualityDivision Prop. Of Eq.The question you need to ask isWhat did I do to get to the next step?3 3-7 -7+20y +20y- 7 - 7___ ___ 35 35

Justify each step.56Givenb = 35(x 2) = 2x + 8Multiplication Prop. Of EqualityDivision Prop. Of Eq.Distributive Prop.Addition Prop. Of Equality5x - 10 = 2x + 83x - 10 = 83x = 18x = 6GivenMultiplication Prop. Of EqualityDistributive Prop.Subtr. Prop. Of EqualityAddition Prop. Of EqualityDivision Prop. Of Eq.The question you need to ask isWhat did I do to get to the next step?3 3( )6b +6b___ ___ 8 8

Given:

Prove:7?Label diagram to help visualize.Statements ReasonsAngle Add. PostulateAngle Add. PostulateSubstitution Prop. Of Eq.Notice that the To Prove or conclusion is ALWAYS the last statement

Given:

Prove:8FL = ATFA = LTLAFTLabel diagram to help visualize.??FL = ATStatements ReasonsLA = LAFL + LA = AT + LAFL + LA = FAAT + LA = LTFA = LTSubstitution Prop. Of Eq.GivenReflexive Prop. Of Eq.Add. Prop. Of Eq.Segment Add. PostulateSegment Add. PostulateggNotice that the To Prove or conclusion is ALWAYS the last statement

Given:

Prove:9DW = ONDO = WNNODWLabel diagram to help visualize.??Statements ReasonsDW = DO + OWON = ___ + ____DO + OW = OW + WNOW = OWSubstitution Prop. Of Eq.GivenReflexive Prop. Of Eq.Subtr. Prop. Of Eq.Segment Add. PostulateSegment Add. PostulateggDW = ONDO = WNOW WNNotice that the To Prove or conclusion is ALWAYS the last statement

Given:

Prove:10LJKLabel diagram to help visualize.??Statements ReasonsSubstitution Prop. Of Eq.GivenReflexive Prop. Of Eq.Subtr. Prop. Of Eq.Angle Add. Postulateg456+180Notice that the To Prove or Conclusion is ALWAYS the last statement

Given:

Prove:11Label diagram to help visualize.??Statements ReasonsAdd. Prop. Of Eq.GivenSubstitution. Prop. Of Eq.Angle Add. PostulateGivenAngle Add. PostulateSteps 4 and 5 are needed to permit/validate the substitution.

Given:

Prove:12Label diagram to help visualize.Statements ReasonsAdd. Prop. Of Eq.GivenSubstitution. Prop. Of Eq.Segment Add. PostulateGivenSegment Add. PostulateRP = TQPS = QSRS = TSRP = TQPS = QSRS = TSRP + PS = TQ + QSRP + PS = RSTQ + QS = TSSteps 4 and 5 are needed to permit/validate the substitution.Note that this proof was the same as the previous poof except for using segments instead of angles.gggg??

Given:

Prove:13Label diagram to help visualize.Statements ReasonsSubtr. Prop. Of Eq.GivenSubstitution. Prop. Of Eq.Segment Add. PostulateGivenRQ = TPZQ = ZPRZ = TZZQ = ZPRQ = TPTP = TZ + ZPRQ = RZ + ZQRZ + ZQ = TZ + ZPRZ = TZSegment Add. PostulateNotice this is an application of the sum of the parts equals the whole.It is also just like the previous proof.Visually, it is easy to see that if you subtract the smaller segment from the larger segment the result will be obtained??

Given:

Prove:14Label diagram to help visualize.??Statements ReasonsSubtr. Prop. Of Eq.GivenSubstitution. Prop. Of Eq.Angle Add. PostulateGivenAngle Add. Postulate

Cest fini.Good day and good luck.