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# Geom 1point5

## by herbison on Apr 07, 2008

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## Geom 1point5Presentation Transcript

• Segment & Angle Bisectors Objectives: - Bisect a segment - Bisect an angle
• 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
• 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
• 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.
• Construct a bisector.
• 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.
• What is M?
2, 0 8, 0 M
• What is M?
1, 7 3, 7 M
• Look at the formula
• At the top of page 35
• Then do Examples 1&2 together
• 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
• Construct an angle bisector
• Do examples