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Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
Geom 1point5
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Geom 1point5

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Transcript

  • 1. Segment & Angle Bisectors Objectives: - Bisect a segment - Bisect an angle
  • 2. Bisecting a Segment
    • The midpoint of a segment is the point that divides, or bisects , the segment into two congruent segments.
    • In your book, red congruence marks identify congruent segments in diagrams
    • M is the midpoint of AB if M is on AB and AM=MB
    A B M
  • 3. Bisecting a Segment
    • A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint.
    • Line CD is a bisector of segment AB
    A B M D C
  • 4. Construction
    • You can use a compass and a straightedge to construct a segment bisector and midpoint of a segment. A construction is a geometric drawing that uses a limited set of tools, usually a compass and a straightedge.
  • 5. Construct a bisector.
  • 6. Midpoint Formula
    • If you know the coordinates of the endpoints of a segment, you can calculate the coordinates of the midpoint by taking the average of the x coordinates and y coordinates.
  • 7.
    • What is M?
    2, 0 8, 0 M
  • 8.
    • What is M?
    1, 7 3, 7 M
  • 9. Look at the formula
    • At the top of page 35
    • Then do Examples 1&2 together
  • 10. Bisecting an Angle
    • An angle bisector is a ray that divides an angle into two adjacent angles that are congruent.
    • Ray FH Bisects Angle GFI because it divides the angle into two congruent angles.
    • In the book, matching congruence arcs identify congruent angles in diagrams.
    F G H I
  • 11. Construct an angle bisector
  • 12. Do examples

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