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Geometry Name______Chapter 3 Review & Lines Block Date______

Think of each segment in the diagram as part of a . Fill in the blank with parallel, skew, or perpendicular. 1. DE and CF are . 2. AD , BE , and are . 3. ABC and plane DEF are . 4. and AB are .

Think of each segment in the diagram as part of a line. There may be more than one right answer. 5. Name a line perpendicular to HD . 6. Name a plane parallel to DCH. 7. Name a line parallel to BC . 8. Name a line skew to FG .

Complete the statement with corresponding, alternate interior, alternate exterior, or consecutive interior. 9. 4and 8 are . 10. 2and 6 are angles. 11. 1and 8 are angles. 12. 7and 2 are angles. 13. 4and 5 are angles. 14. 5and 1 are angles.

16. Given that m1  32  , find each measure. Tell which postulate or theorem you use. a. m2 b. m3 c. m4 d. m5

17. Use properties of parallel lines to find the value of x. a. b. c. d.

18. Prove the statement from the given information. 19. Explain how you would show that kl

a. Prove: lm b. Prove: no

20. Complete the following proof by providing the reasons. Given: m1  53  m2  127  Prove: jk

Statements Reasons

1. m1  53 1. m2  127

2. m3 m2 180 2.

3. m3127 180 3.

4. m3  53 4.

5. m3  m1 5.

6. 3  1 6.

7. jk 7.

21. Determine which rays are parallel. a. Is PN parallel to SR ? b. Is PO parallel to SQ ?

22. Determine which lines, if any must be parallel.

23. In the below, find the missing angles. a. b. c. d.

24. Find the of each line. Are the lines parallel?

25. Write an of the line that passes through the given P and is parallel to the line with the given equation. 2 a. P (10, 3), yx12 b. P (-1, 2), yx2 3

26. Decide whether PQ and QR are perpendicular. 27. Decide whether the lines are perpendicular Line l: 2xy 3   4 Line k: 3xy 2 3

28. Line j is perpendicular to the line with the given equation and line j passes through P. Write an equation of line j. 16 a. 7yx  4  13, P(-2, 6) b. yx   , P(-1, 2) 55

29. In the figure, 5 is complementary to 12 , and m9  148  . Find the measure of each numbered in the figure. m5 m6 m7 m8 m9 m10 m11 m12

Use the figure to determine whether each statement is true or false. 30) DCB and DCH are supplementary. ______

31) DH EH ______32) HE AF ______33) DCB and ABC are complementary. ______

34. Given: a/ / b , c / / d Prove: 13  

Statements Reasons

1. ab// 1.

2. 1   4 . 2.

3. cd// 3.

4. 4   3 4.

5. 13   5.

35.

36.