1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.
7
1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17
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Transcript of 1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.
1.5 Segment and Angle Bisectors
Goal 1: Bisect a segment
Goal 2: Bisect an angle
CAS 16, 17
Midpoint
A midpoint of a segment is the point that divides or bisects the segment into two congruent segments.
A BM
MBAM
Congruent Marks and Congruent Arcs
Small red marks used to identify congruent segments.
A BM
Segment Bisector
A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint
A BM
Line MN is the bisector
N
Construction
A construction is a geometric drawing that uses a limited set of tools, usually a compass and a straight edge.
Midpoint Formula
If A(x1,y1) and B(x2,y2) are points in a coordinate plane, then the midpoint of AB has coordinates
2,
22121 yyxx
(4, -1)
(-2, 4)
)2
3,1(
Angle Bisector
An angle bisector is a ray that divides an angle into two adjacent angles that are congruent.
C
A
D
B
BCDmACDm
