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Name Class Date Practice 3-2 Proving Lines Parallel All rights reserved. 1. Developing Proof Complete the paragraph proof for the figure shown. Given: RQT and QTS are supplementary. TSV and SVU are supplementary. * ) * ) Prove: QR 6 UV Proof Because RQT and QTS are supplementary, RQT and QTS are a. 9 angles. By the Same-Side Interior Angles Theorem, b. 9 6 c. 9. Because TSV and SVU are supplementary, * ) * TSV ) and SVU are d. 9 angles. By the e. 9 Theorem, TS 6 UV . * ) * ) * ) * ) Because QR and UV both are parallel to f. 9, QR 6 UV by Theorem g. 9. R T S U V Which lines or segments are parallel? Justify your answer with a theorem or postulate. 2. m n 3. v 110 5. A R 30 70 H 30 T A A B G C D a 7. 96° E D U 100 55 d 6. C 125 o o 70 B 4. i 65 115 © Pearson Education, Inc., publishing as Pearson Prentice Hall. Q F H 84° 101° b 79° c I d Algebra Find the value of x for which a n t. 8. a a 9. t t 10. (3x) (x 20) 93 (x 44) a t (x 20) (2x 10) 11. (x 30) a 12. 13. (2x 75) 80 a t 130 70 t Geometry Chapter 3 (x 20) t a (x 35) (2x 20) Lesson 3-2 Practice 3