Download Geometry: Section 1.5 Name:

Geometry: Section 1.5
Name:
Objective: To define midpoints, bisectors, trisectors
Midpoint: Defn: The point which separates a segment into two congruent
segments is called its midpoint.
M is the midpoint of segment AB if:
a) M is on the segment
b) AM = MB
Bisector of a segment: Defn: Any point, segment, ray, or line which passes
through the midpoint of a segment bisects it.
Why is there no bisector or midpoint for rays or lines?
How many midpoints does each segment have?
Example
How many bisectors does each segment have?
Example
Trisecting a segment: Defn: If a segment is divided into three congruent
segments, it is trisected. The points at which it is divided are called
_______________________
Angle Bisector: Defn: Any ray which divides an angle into 2 congruent angles.
The ray which divides the angle is called the bisector.
Angle Trisectors: Defn: two rays which _____________________
Homework: 1.5, pgs32-35 # 1a, 2a, 3a, 4a, 5a, 7, 9-18 multiples of 3, 20. 22