Pre-Calculus Homework Solutions 41

Pre-Calculus Homework Solutions 41 - 7. Given: PQ Prove: PS...

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Unformatted text preview: 7. Given: PQ Prove: PS RS, QS RT ST 10. Given: AB Prove: CD ST Q R CD AB B A C D P Proof: Proof: a. ?,? QS ST b. PQ Statements Reasons 1. AB CD 1. Given 2. AB CD 2. Def. of segments 3. CD AB 3. Symmetric Prop. ? Segment Addition Post. d. Addition Property Statements 4. CD AB 4. Def. of Reasons RS, a. Given PQ RS, QS ST b. ? Def. of c. PS PQ QS, RT RS ST d. ? PQ QS RS ST c. e. e. Substitution ? PS f. PS RT 8. Given: AP BP Prove: AB Proof: RT f. CP DP CD ? A C Statements Def. of P segs. 11. Since Aberdeen is in South Dakota while Helena, Miles City, and Missoula are in Montana, Aberdeen is at one end of the line segment along which the four cities lie. Miles City is closest to Aberdeen (473 miles), Helena is next closest to Aberdeen (860 miles), and Missoula is farthest from Aberdeen (972 miles). Thus, Helena is between Missoula and Miles City. segments D B Pages 104–106 Practice and Apply Reasons 1. AP CP and BP 2. AP CP and BP DP 2. Def. of 3. AP PB AB 3. Seg. Add. Post. 4. CP DP AB 4. Substitution 5. CP PD CD 5. Seg. Add. Post. 6. AB CD 6. Transitive Prop. 7. AB CD 7. Def. of 12. 13. 14. 15. 16. 17. 18. DP 1. Given 9. Given: HI TU and HJ TV Prove: IJ UV segs. segs. segs. Symmetric Substitution Segment Addition Transitive Addition Subtraction Given: AD CE, DB Prove: AB CB EB B D E H A I C Proof: J T U Statements: V a. Proof: Statements TU and HJ TV 2. HI TU and HJ TV 2. Def. of 3. HI IJ HJ 4. TU IJ TV 4. Substitution 5. TU UV 6. TU IJ 7. TU TU DB CE AB CE AD EB e. AB 3. Seg. Add. Post. CE, DB d. ? CB 1. Given CB EB a. Given b. ? Def. of EB c. ? Add. Prop. DB, d. Segment Addition Postulate EB segs. segs. 5. Seg. Add. Post. UV CE, DB c. AD 1. HI TU AD b. AD Reasons TV ? Reasons: f. AB 6. Substitution CB e. ? Substitution f. ? Def. of segs. 7. Reflexive Prop. 8. IJ UV 8. Subt. Prop. 9. IJ UV 9. Def. of segs. 43 Chapter 2 ...
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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.

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