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Name _______________________________________ MGS31-……. Ms. Montoya Homework # 10: Parallel and Perpendicular Lines Circle the best answer. Use the figure for Exercises 6 and 7. 1. Classify AB and CD. 6. Given r || s, what is the measure of 1? A 558 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 B 1258 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? 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 5b. If a transversal is perpendicular to one of two parallel lines, how many different angle measures are formed? F 1 H 4 G 3 J 8 A 408 B 1408 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 Show all your work: No work, no credit!!! Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ MGS31-……. 11. Which segment’s length gives the distance from G to line ø? A GF B GE 12. Which inequality is correct? Ms. Montoya Use the figure for Exercises 15 and 16. 15. Which are alternate exterior angles? A 1 and 3 C 3 and 6 B 1 and 8 D 6 and 7 16. Which statement is true? F 1 and 2 are alternate interior angles. 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? G 1 and 3 are corresponding angles. H 3 and 6 are alternate exterior angles. J 3 and 7 are same-side interior angles. 17.What type of angle is 1? A Alt. Int. ? Thm. B 2 lines ' to same line 2 lines are || C Corr. ? Post. D Vert. ? Thm. 14. Which justifies Step 3? F acute H obtuse G right J straight Use the figure for Exercises 18 and 19. Given: s ' q and 1 2. Prove: s ' p Proof: Statements Reasons 1. 1 2, s ' q 1. Given 2. p || q 2. 3. s ' p 3. A' Transv. Thm. B p || r C Conv. of Alt. Int. ? Thm. 18. Which information proves that r || s? F 1 3 H 4 6 G 4 5 J 5 6 19. If m3 (4x 20) and m5 (6x 10), what value of x proves that r || s? A 5 C 40 B 15 D 100 D 2 lines ' to same line 2 lines || Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry