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Edm 1  lines and angles
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Edm 1 lines and angles

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Transcript

  • 1. Lines and Angles
  • 2. Lines are everywhere…
  • 3. Line segments can be measured from beginning to end.
    A
    B
    We mark a line segment with points
    Those points are labeled with letters
    We can name this line segment either:
    AB
    BA
  • 4. Lines vs. Line Segments
    Lines are different from line segments.
    We can see the beginning and ending of a line segment.
    Lines extend on forever
    To show the difference between a line and a line segment we use arrows instead of points
    A
    B
    We name a line by showing the arrows:
    AB
  • 5. A
    B
    D
    C
    Two line segments are shown here
    AB
    CD
  • 6. When lines or line segments meet…
    A
    B
    D
    C
    They intersect to form angles…
  • 7. The point at the intersection is called the vertex.
    E
    A
    D
    B
    When we name the angle, the vertex must be in the middle
    C
  • 8. The point at the intersection is called the vertex.
    AED
    E
    A
    D
    B
    When we name the angle, the vertex must be in the middle
    or
    C
    DEA
    Point E, the vertex, is
    always
    in the middle
  • 9. X
    Notice any angles?
    Y
    A
    C
    P
    BAC
    XYZ
    PQR
    JHI
    Q
    Z
    R
    B
    J
    I
    Name these angles…
    H
  • 10. A
    B
    D
    C
    When 2 line segments meet to form a 90° angle they called perpendicular
    line segments
  • 11. A
    90°
    90°
    90°
    90°
    B
    D
    C
    Perpendicular lines intersect to form a 90° angle also referred to as a right angle.
    You can check if the angle right by holding up a piece of notebook paper.
  • 12. Perpendicular
    A
    90°
    B
    D
    C
    Where do we see right angles?
  • 13. Perpendicular
    A
    B
    D
    C
    Where do we see right angles?
  • 14. Let’s Look at the Strata Center again…
    Notice many perpendicular lines?
    Not quite 90°
    A
    A
    Smaller than 90° again.
    B
    B
    D
    D
    C
    C
  • 15. A
    A
    B
    B
    D
    D
    C
    C
  • 16. A
    A
    B
    B
    D
    D
    C
    C
  • 17. Acute Angle = Less than 90°
    A
    A
    B
    B
    D
    D
    C
    C
    Both of these angles are smaller than 90°
    Angles smaller than 90° are called acute
  • 18. What about angles larger than 90°?
  • 19. What about angles larger than 90°?
    Angles larger than 90° are called obtuse
    Notice all of the extra room?
  • 20. If you extend these two lines segments will they ever touch?
    Right, if they did what might happen?
  • 21. When two line segments on the same plane never touch they are called
    Parallel
    Lots of parallel lines
  • 22. Do these lines intersect?
    But, if you extend them outward, would they intersect?
    Are these lines parallel?
    No, but actually they are. It’s just the angle of the picture.
  • 23. Examples of Parallel Lines