Parallel Lines: Review Worksheet

PARALLEL LINES: REVIEW WORKSHEET INTEGRATED IIB

NAME: ______PERIOD: ____ DATE: ______

PART I. USE THE DIAGRAM BELOW TO COMPLETE THE PROOFS.

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

Statements Justifications Statements Justifications

C) Given: The diagram Prove: m2 + m3 = 180

Statements Justifications

1. m1 + m3 = 180

2. m1 = m2

3. m2 + m3 = 180

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

SUPPOSE m2 = 71. FILL IN THE REMAINING BLANKS.

1. m1 = ______BECAUSE __linear pair______WITH  ______

2. m3 = ______BECAUSE ______WITH  ______

3. m4 = ______BECAUSE __corresponding______WITH  ______

4. m5 = ______BECAUSE ______WITH  ______

5. m6 = ______BECAUSE _alternate-interior______WITH  ______

6. m7 = ______BECAUSE ______WITH  ______

7. m8 = ______BECAUSE _co-exterior______WITH  ______

8. m9 = ______BECAUSE ______WITH  ______

9. m10 = ______BECAUSE _co-interior______WITH  ______

10. m11 = ______BECAUSE ______WITH  ______

11. m12 = ______BECAUSE ______WITH  ______

12. m13 = ______BECAUSE _alternate-exterior______WITH  ______

13. m14 = ______BECAUSE ______WITH  ______

14. m15 = ______BECAUSE ______WITH  ______

15. m16 = ______BECAUSE _vertical______WITH  ______

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

6 3 5 4

16. Name 4 pair of alternate-interior angles.

17. Name 4 pair of alternate-exterior angles.

18. Name 4 pair of co-interior angles.

19. Name 4 pair of co-exterior angles.

20. Name 8 pair of corresponding angles.

21. Name 8 pair of vertical angles.

22. How many linear pair angles are there in this diagram?

23. Name 2 pair of nonvertical, equal angles from the diagram.

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.

2 m || k

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.

ABCD IS A PARALLELOGRAM.

27. A = 68 28. B = (2x + 11) A = 110 B = C = C = D = D =

28. Solve for “x” and “y.”

(5x + 2y) 60

80 (4y + 2x)