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Chapter 3 Review

Chapter 3 Review. Textbook page 160-163 problems 1-27. Answers to Assignment # 10. 1. Two lines are ____ if they lie in the same plane and do not intersect. parallel. 2. A(n) ___ is a line that intersects two or more coplanar lines at different points. transversal.

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Chapter 3 Review

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  1. Chapter 3 Review Textbook page 160-163 problems 1-27

  2. Answers to Assignment # 10

  3. 1. Two lines are ____ if they lie in the same plane and do not intersect. • parallel

  4. 2. A(n) ___ is a line that intersects two or more coplanar lines at different points. • transversal

  5. 3. Two lines are ___ if they intersect to form a right angle. • perpendicular

  6. 4. Two angles are ____ if they lie outside two lines on opposite sides of the transversal. • alternate exterior

  7. 6. Two planes that do not intersect are called _______. • parallel

  8. 7. FJ and GH appear to be_______. (parallel, perpendicular or skew) • parallel G H J F L M K N

  9. 8. KN and JN are_______. (parallel, perpendicular or skew) • perpendicular G H J F L M K N

  10. 9. FK and HJ are_______. (parallel, perpendicular or skew) • skew G H J F L M K N

  11. 10. JN and MN are _______. (parallel, perpendicular or skew) • perpendicular G H J F L M K N

  12. 11. m <11 = 90o yes, by Vertical Angles Theorem Determine whether there is enough information to conclude that the statement is true. Explain. 9 8 10 11

  13. 12. m < 9 + m < 10 = 90o yes, if two sides of adjacent acute angles are perpendicular, then the angles are complementary. Determine whether there is enough information to conclude that the statement is true. Explain. 9 8 10 11

  14. 13. h j yes, if two lines intersect to form adjacent congruent angles, then the lines are perpendicular Determine whether there is enough information to conclude that the statement is true. Explain. h 12 13 j

  15. 14. m < 9 = m < 10 No Determine whether there is enough information to conclude that the statement is true. Explain. 9 8 10 11

  16. 15. < 8 and < 12 are ____. corresponding Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15

  17. 16. < 9 and < 14 are ____. alternate exterior Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15

  18. 17. < 10 and < 12 are ____. same-side interior Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15

  19. 18. < 11 and < 12 are ____. alternate interior Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15

  20. 19. find m < 9 99o Find the measure of the numbered angles. 9 99o

  21. 20. find m < 10 63o Find the measure of the numbered angles. 63o 10

  22. 21. find m < 11 71o Find the measure of the numbered angles. 109o 11

  23. 122 22. Find the value of x so that r ll s 122o xo r s

  24. 20 23. Find the value of x so that r ll s 4xo 80o r s

  25. 140 24. Find the value of x so that r ll s r s (x-15)o 55o

  26. Using the given information, state the postulate or theorem that allows you to conclude that p ll q s 25. pllr, rllq p q r if two lines are parallel to the same line, then they are parallel to each other.

  27. Using the given information, state the postulate or theorem that allows you to conclude that p ll q 26. ps, sq r s p q if two lines are perpendicular to the same line, then they are parallel to each other.

  28. Using the given information, state the postulate or theorem that allows you to conclude that p ll q r 27. < 1 = < 2 p 2 q 1 Corresponding Angles Converse.

  29. Test Friday Assignment # 11 Page 161 problems 1-27

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