1. 1.3: Segments, Rays, and Distance

2. Line segment: two points on a line and all points in between them
2 points are called endpoints
Ray: a figure with one endpoint and goes on forever in the opposite direction
Opposite Rays: 2 rays that make up a line

3. Length: distance between 2 points
Subtract 2 coordinates on a number line to find length
Greater minus smaller

4. Postulate 1: Ruler Postulate
1.) The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1
2.) Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of their coordinates

5. In Human terms
Basically, you can set any two points as 0 and 1 and that will now be your scale
And distance will always be positive

6. Postulate 2: Segment Addition Postulate
If B is between A and C, then AB + BC = AC
Ex: B is between A and C with AB = x and BC = x + 8, and AC = 32. Find the length of each.

7. Congruent: objects that have the same size and shape
Congruent Segments: Segments that have equal lengths
Notation:
Equal lengths: DE = FG
Congruent:
Used interchangeably

8. Midpoint of a segment: the point that divides the segment into 2 congruent segments
AM = MB or
M is the midpoint of segment AB

9. Bisector of a segment
A line, segment, ray, or plane that intersects the segment at its midpoint
Draw picture

10. Homework
Pg 15: 2-46 even