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Name _______________________________________ Date ___________________ Class __________________ Parallel and Perpendicular Lines Chapter Test Form B 1. Identify a segment perpendicular to AD. ________________________________________ 2. Write True or False. Skew lines can intersect. 7. Find the measure of FDE. ________________________________________ Use the figure for Exercises 8 and 9. ________________________________________ 3. How many pairs of corresponding angles are formed by two lines and a transversal? ________________________________________ 4. What type of angle pair are 8 and 6? 8. Given: 8 2. Identify the postulate or theorem that proves that r s. ________________________________________ 9. If 2 (x2)o and 6 (2x 15)o, what values of x makes the lines parallel? ________________________________________ ________________________________________ 5. If parallel lines are intersected by a transversal, at most how many different angle measures are there? ________________________________________ 10. Complete the theorem. If two intersecting lines form a linear pair of congruent angles, then the lines are ________. ________________________________________ 11. Name the shortest segment from B to AC. 6. Complete the sentence. When parallel lines are cut by a transversal, the angles formed are either ________ or supplementary. ________________________________________ ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Parallel and Perpendicular Lines Chapter Test Form B continued 12. Write and solve an inequality for x. 15.Determine the slope of the line through J(4, 3) and K(6, 4). ________________________________________ ________________________________________ 13. Complete the two column proof. 16. Determine whether the line through (0, 4) and (2, 0) and the line through (2, 3) and (4, 2) are parallel, perpendicular, or neither. ________________________________________ 17. Write the equation of the line through y-intercept of 4 and x-intercept of 2 in slope-intercept form. Given: s ┴ p and 1 and 2 are complementary. Prove: p q Proof: Statements ________________________________________ 18. Write the equation of the line through (4, 4) and (2, 2) in point-slope form. ________________________________________ Reasons ________________________________________ 19. Write True or False. y 3x 4 and y 3x 4 are parallel. ________________________________________ 20. Determine whether the lines 3x 2y 6 and 4y 6x 12 are parallel, intersect, or coincide. ________________________________________ 21. Graph x y 2 & plot the point (3, 3). ________________________________________ Draw a perpendicular segment and find the distance from the point to the line. 14. Complete the sentence. If the product of the slopes of two lines equals 1, then the lines are _______. ________________________________________ Write the equation of the perpendicular bisector of the segment with the given endpoints. (1, 3) and (-1, 4) Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Chapter Test Form B: Free Response 1. Answer: AB, AE, DE, or DH 2. False 3. four 4. corresponding angles 5. two 6. congruent 7. 80 8. Conv. of the Alt. Ext. s Thm. 9. x -3. X = 5 10. perpendicular 11. BD 12. 4x 2x 20; x 10 13. see in class review notes 14. perpendicular ***Boxed Problem y = 2x + 3.5 15. 1 10 16. perpendicular 17. y 2x 4 18. Possible answers: y 2 1(x 2) or y 4 1(x 4) 19. False 20. parallel 21. See graph Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry