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3.4 Perpendicular Lines   October 16th, 2009




                                               1
3.4 Perpendicular Lines                          October 16th, 2009




    Spartan Sneaky Shuffle Stop

    With the BIG Homecoming Game this weekend against
    Maine East, Coach Pieper knew he'd have to create
    something bedazzling to stop those Blue Demons in their
    tracks. So he came up with his secret play: the Spartan
    Sneaky Shuffle Stop, but he needs our help...




                                                                      2
3.4 Perpendicular Lines   October 16th, 2009




    Homework Questions:




                                               3
3.4 Perpendicular Lines                             October 16th, 2009




                          3.4 Perpendicular Lines




                                                                         4
3.4 Perpendicular Lines                            October 16th, 2009




    Perpendicular Bisector:

    • A line _____________ to a segment at the segment's
    ____________.

        Example:                  Non-Example:




                                                                        5
3.4 Perpendicular Lines                                October 16th, 2009




       Question: What's the shortest distance between 2 points?



    Q:How about the shortest distance between a point and a line?

               A: A perpendicular segment connecting the two.



    Distance from a point to a line:

    • the length of the ______________ segment from the point
    to the line.




                                                                            6
3.4 Perpendicular Lines                         October 16th, 2009




    Ex 1: Distance From a Point to a Line
                              C
                                      P

                                           B
                          x - 8       12


                                  A

    A: Name the shortest segment from point A to BC.



    B:Write and solve an inequality for x.




                                                                     7
3.4 Perpendicular Lines   October 16th, 2009




                                               8
3.4 Perpendicular Lines   October 16th, 2009




                                               9
3.4 Perpendicular Lines                             October 16th, 2009




    Homework:
    • As is on Assignment Sheet


    Exit Slip:
    1.) State two main requirements to be a perpendicular
    bisector.

    2.) If two coplanar lines are perpendicular to the same line,
    then the two lines are ____________ to each other.




                                                                         10

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3.4 Notes A

  • 1. 3.4 Perpendicular Lines October 16th, 2009 1
  • 2. 3.4 Perpendicular Lines October 16th, 2009 Spartan Sneaky Shuffle Stop With the BIG Homecoming Game this weekend against Maine East, Coach Pieper knew he'd have to create something bedazzling to stop those Blue Demons in their tracks. So he came up with his secret play: the Spartan Sneaky Shuffle Stop, but he needs our help... 2
  • 3. 3.4 Perpendicular Lines October 16th, 2009 Homework Questions: 3
  • 4. 3.4 Perpendicular Lines October 16th, 2009 3.4 Perpendicular Lines 4
  • 5. 3.4 Perpendicular Lines October 16th, 2009 Perpendicular Bisector: • A line _____________ to a segment at the segment's ____________. Example: Non-Example: 5
  • 6. 3.4 Perpendicular Lines October 16th, 2009 Question: What's the shortest distance between 2 points? Q:How about the shortest distance between a point and a line? A: A perpendicular segment connecting the two. Distance from a point to a line: • the length of the ______________ segment from the point to the line. 6
  • 7. 3.4 Perpendicular Lines October 16th, 2009 Ex 1: Distance From a Point to a Line C P B x - 8 12 A A: Name the shortest segment from point A to BC. B:Write and solve an inequality for x. 7
  • 8. 3.4 Perpendicular Lines October 16th, 2009 8
  • 9. 3.4 Perpendicular Lines October 16th, 2009 9
  • 10. 3.4 Perpendicular Lines October 16th, 2009 Homework: • As is on Assignment Sheet Exit Slip: 1.) State two main requirements to be a perpendicular bisector. 2.) If two coplanar lines are perpendicular to the same line, then the two lines are ____________ to each other. 10