54. Given:AB5CDProve:AC5BDProof:55.m/65180235 or 14556.m/751802157 or 2357.m/85180290 or 9058. Given:/1 and /2 form a linear pair.m/252(m/1)Prove:m/1560Proof:Chapter 2 Practice TestPage 1211.Sample answer: Formal is the two-column proof,informal can be paragraph proofs.2.Sample answer: You can use a counterexample.3.Sample answer: statements and reasons to justifystatements4.true; Symmetric Prop.5.false;y526.false;a5247.23.2 and 3x512 when x54.; false, because pis false and qis true8.23.2 or 3x512 when x54.; true, because pis false and qis true9.23.2, or 3x512 when x54 and an equilateraltriangle is also equiangular.; true, because qis true and ris true so q `ris true and pis false10.Hypothesis: you eat an apple a day; Conclusion:the doctor will stay away; If you eat an apple aday, then the doctor will stay away.Converse: If the doctor stays away, then you eatan apple a day.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.