<p>PARALLEL LINES: REVIEW WORKSHEET INTEGRATED IIB</p><p>NAME: ______PERIOD: ____ DATE: ______</p><p>PART I. USE THE DIAGRAM BELOW TO COMPLETE THE PROOFS.</p><p>2 1</p><p>3</p><p>A) Given: m1 = (2x – 135) B) Given: m1 = (10x) m2 = (x – 30)  m3 = (9x + 28)  Prove: x = 105 Prove: m3 = 100</p><p>Statements Justifications Statements Justifications</p><p>C) Given: The diagram Prove: m2 + m3 = 180</p><p>Statements Justifications</p><p>1. m1 + m3 = 180</p><p>2. m1 = m2</p><p>3. m2 + m3 = 180</p><p>PART II. USE THE DIAGRAM. 1 2 3 4 a 5 6 7 8 a || b c || d 9 10 11 12 b 13 14 15 16</p><p> c d</p><p>SUPPOSE m2 = 71. FILL IN THE REMAINING BLANKS.</p><p>1. m1 = ______BECAUSE __linear pair______WITH  ______</p><p>2. m3 = ______BECAUSE ______WITH  ______</p><p>3. m4 = ______BECAUSE __corresponding______WITH  ______</p><p>4. m5 = ______BECAUSE ______WITH  ______</p><p>5. m6 = ______BECAUSE _alternate-interior______WITH  ______</p><p>6. m7 = ______BECAUSE ______WITH  ______</p><p>7. m8 = ______BECAUSE _co-exterior______WITH  ______</p><p>8. m9 = ______BECAUSE ______WITH  ______</p><p>9. m10 = ______BECAUSE _co-interior______WITH  ______</p><p>10. m11 = ______BECAUSE ______WITH  ______</p><p>11. m12 = ______BECAUSE ______WITH  ______</p><p>12. m13 = ______BECAUSE _alternate-exterior______WITH  ______</p><p>13. m14 = ______BECAUSE ______WITH  ______</p><p>14. m15 = ______BECAUSE ______WITH  ______</p><p>15. m16 = ______BECAUSE _vertical______WITH  ______</p><p>PART III. ANSWER THE FOLLOWING QUESTIONS USING THE DIAGRAM BELOW. x 13 x || y 9 14 8 10 y 1 7 15 2 11 16 12</p><p>6 3 5 4</p><p>16. Name 4 pair of alternate-interior angles.</p><p>17. Name 4 pair of alternate-exterior angles.</p><p>18. Name 4 pair of co-interior angles.</p><p>19. Name 4 pair of co-exterior angles.</p><p>20. Name 8 pair of corresponding angles.</p><p>21. Name 8 pair of vertical angles.</p><p>22. How many linear pair angles are there in this diagram?</p><p>23. Name 2 pair of nonvertical, equal angles from the diagram.</p><p>24. Name 2 pair of angles that are supplementary but are NOT linear pairs. PART IV. USE THE DIAGRAM FOR #25 AND # 26. SOLVE FOR THE INDICATED VARIABLE IN EACH OF THE FOLLOWING. NO FORMAL PROOF IS NEEDED.</p><p>1 m</p><p>2 m || k</p><p> k 4 3</p><p>25. m1 = 7x + 14 26. m1 = 10y + 7 m2 = 3x + 62 m4 = 7y + 3 Solve for “x.” Solve for “y” PART V. USE THE DIAGRAM BELOW TO SOLVE FOR THE INDICATED ANGLE.</p><p>ABCD IS A PARALLELOGRAM.</p><p>A B</p><p>C D</p><p>27. A = 68 28. B = (2x + 11) A = 110 B = C = C = D = D = </p><p>28. Solve for “x” and “y.”</p><p>(5x + 2y) 60</p><p>80 (4y + 2x)</p>