Results 1 to 3 of 3

Math Help - Parallel Lines.

  1. #1
    Newbie
    Joined
    Apr 2008
    From
    Michigan.
    Posts
    9
    Thanks
    1

    Question Parallel Lines.

    Use the following figure to answer questions 6-14.

    6. Which of the following angles is an alternate interior angle of ?
    7. Which of the following angles is an alternate exterior angle of ?
    8. Which of the following angles is a corresponding angle of ?
    9. If , find .
    1. 67
    2. 77
    3. 109
    4. 138
    10. If , find .
    1. 67
    2. 71
    3. 109
    4. 113
    11. If , find .
    1. 42
    2. 67
    3. 71
    4. 109
    12. Which of the following statements proves that ?
    13. Which of the following statements proves that ?
    14. If and , then we may conclude that
    1. and will intersect on the left
    2. and will intersect on the right
    15. Which theorem guarantees that the lines are parallel in the following construction?
    1. Theorem 3.1. If alternate interior angles are congruent, then the lines are parallel.
    2. Theorem 3.2. If corresponding angles are congruent, then the lines are parallel.
    3. Theorem 3.3. If alternate exterior angles are congruent, then the lines are parallel.
    4. Theorem 3.4. If interior angles on the same side of the transversal are supplements, then the lines are parallel.

    Complete the proof for Theorem 3.5 by selecting the best statement or reason.
    Theorem 3.5. If two lines are perpendicular to the same line, then they are parallel to each other.

    16. The best option for reason 2 of the proof is
    1. definition of a right angle
    2. definition of perpendicular lines
    3. Theorem 3.1
    4. Theorem 3.5
    17. The best option for statement 5 of the proof is
    1. is a right angle
    18. The best option for reason 6 of the proof is
    1. definition of a right angle
    2. definition of perpendicular lines
    3. Theorem 3.2
    4. Theorem 3.3
    19. The best option for statement 7 of the proof is
    20. The best option for reason 9 of the proof is
    1. Theorem 3.1
    2. Theorem 3.2
    3. Theorem 3.3
    4. Theorem 3.5
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Pleaaaase, tell us where you have problems only...
    Imagine if we have to justify each answer...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,897
    Thanks
    327
    Awards
    1
    Why don't you start by telling us where you are having the problems. Solving the whole sheet probably won't do you any good otherwise since many of the solutions here are from the definitions.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: February 24th 2011, 01:26 AM
  2. Replies: 1
    Last Post: March 14th 2010, 01:22 PM
  3. Parallel lines
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 19th 2010, 11:41 PM
  4. Parallel lines
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 13th 2009, 12:42 PM
  5. Replies: 2
    Last Post: January 25th 2009, 08:41 PM

Search Tags


/mathhelpforum @mathhelpforum