Pre-Calculus Homework Solutions 97

Pre-Calculus Homework Solutions 97 - 17. Given: MRN Prove:...

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Unformatted text preview: 17. Given: MRN Prove: MNP QRP, MNP QPN M QPN 3. R 4. Q RST 3. Third Angle Theorem P 4. SAS PNM R N Proof: Statements 1. 21. Given: EF HF G is the midpoint of EH. Prove: EFG HFG H P Reasons MRN MNP 1. Given QRP, QPN F G 2. MN QP 2. CPCTC 3. NP NP 3. Reflexive Property Proof: 4. SAS Statements Reasons 1. EF HF; G is the midpoint of EH. 1. Given 2. EG GH 2. Midpoint Theorem 3. FG FG 3. Reflexive Property 4. MNP QPN 18. Given: AC GC EC bisects AG. Prove: GEC AEC E A E C 4. G EFG HFG 4. SSS Proof: Statements 1. AC GC, EC bisects AG. 1. Given 2. AE EG 2. Def. of segment bisector 3. EC EC 22. Each pair of corresponding sides is congruent. The triangles are congruent by the SSS Postulate. 23. The triangles have two pairs of corresponding sides congruent and one pair of angles congruent but what is needed is the pair of included angles to be congruent. It is not possible to prove the triangles are congruent. 24. The triangles have one pair of angles congruent and one pair of sides (the shared side) congruent. It is not possible to prove the triangles are congruent. 25. The triangles have three pairs of corresponding sides congruent and one pair of corresponding angles congruent. The triangles are congruent by the SSS or SAS Postulates. 26. Given: TS SF FH HT S TSF, SFH, FHT, and HTS are right P T F angles. Reasons 4. GEC 19. Given: Prove: 3. Reflexive Property 4. SSS AEC GHJ GHL LKJ LKG H K J G L Proof: Statements 1. GHJ Reasons LKJ 1. Given 2. HJ GH KJ, GJ LK LJ, LJ 2. CPCTC Prove: HS 3. HJ KJ, GJ 4. HJ LJ KJ 5. KJ HJ GJ LJ KG; HL 6. KG HL 6. Substitution 7. KG HL 7. Def. of segments 8. Reflexive Property 8. GL GL 9. GHL JG 3. Def. of segments 2. S T N, and M Proof: 5. Segment Addition Statements MP 1. Given 2. Given 4. N Reasons 1. TS SF FH HT 2. TSF, SFH, FHT, and HTS are right angles. THF 3. STH 9. SSS LKG PN, RT H 4. Addition Property 20. Given: RS PN RT MP S S N M T M T Prove: RST PNM R Proof: Statements Reasons 1. RS TF 4. SAS STH 5. HS TF THF 3. All right are . 5. CPCTC P 1. Given 2. Given 99 Chapter 4 ...
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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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