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Name _______________________________________ Date ___________________ Class __________________ Unit 3 Study Guide Circle the best answer. 1. Classify AB and CD. A skew segments B parallel segments C perpendicular segments D intersecting segments Use the figure for Exercises 2–4. 2. How are line m and line s related? A intersecting C perpendicular B parallel D skew 3. Identify the transversal. A line m B line s 4. What type of angle pair are 3 and 5? A alternate interior angles B corresponding angles C alternate exterior angles D same-side interior angles 5. Which correctly completes the sentence? If two parallel lines are cut by a transversal, then the pairs of corresponding angles are ___________. A complementary B congruent 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 __________________ Use the figure for Exercises 6 and 7. 6. Given r || s, what is the measure of 1? A 55° B 125° 7. Given r || s, which angle is supplementary to 3? A 1 B 2 8. Given: 1 2. Which theorem or postulate proves that lines r and s are parallel? A Converse of the Corresponding Angles Postulate B Converse of the Alternate Interior Angles Theorem C Converse of the Alternate Exterior Angles Theorem D Converse of the Same-Side Interior Angles Theorem 9. Which value of x makes lines m and n parallel? A 40° B 140° 10. Lines p and q together contain a linear pair in which the angles are congruent. What is the relationship between lines p and q? A parallel B perpendicular 11. Which segment’s length gives the distance from G to line A GF l? B GE 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 __________________ 12. Which inequality is correct? A x 23 B x 20 13. If 1 2 and 4 is a right angle, which postulate or theorem is used to prove m || n? A AIA Thm. B 2 lines ┴to same line 2 lines are || C Corr. angles Post. D Vert.angles Thm. 14. What type of slope does the line have? A positive C zero B negative D undefined 15. What is the slope of the line through (3, 6) and (4, 2)? A 4 B 1 4 C 8 7 D 4 16. Given a line with a slope of 2, what is the slope of a line parallel to the given line? A 2 C 1 2 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 __________________ B 1 2 D 2 17. Which equation is in slope-intercept form? 2 A y x 9 3 2 B y 2 ( x 6) 3 18. A line parallel to the x-axis could contain which point? A (0, 2) B (2, 0) 19. Which line is perpendicular to y 2x 4? A y 2x 6 1 B y x 7 2 20. What is the equation of the line through (1, 8) and (4, 18)? A y 1 x 10 2 B x 2y 10 C y 2x 10 D 2x y 10 21. Write True or False. Parallel lines intersect. ________________________________________ 22. How many angles are formed by two lines and a transversal? ________________________________________ 23. What is the name given to the angle pair 3 and 5? ________________________________________ 24. If parallel lines are intersected by a transversal, how many pairs of corresponding angles are there? ________________________________________ 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 __________________ 25. Given r s. What is the measure of 1? ________________________________________ 24. If 2 8, then r s by which theorem? ________________________________________ 25. Name the shortest segment from C to AB. ________________________________________ 26. Write and solve an inequality for x. ________________________________________ 27. Find the slope of JK through J(1, 1) and K(2, 3). ________________________________________ 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 __________________ 28. Complete the sentence. If two lines have the same slope and different y-intercepts, then the lines are ________. 29. Write True or False. The graph of x 5 is a vertical line. ________________________________________ 30. Write the equation of the line through (3, 4) and (2, 1) in slope-intercept form. ________________________________________ 31. Write the equation of the line through 3 (4, 6) with slope in point-slope form. 4 ________________________________________ 32. Determine whether the lines are parallel, intersect, or coincide. y 3x 4 y 3x 8 ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry