1. 1.3 Segments, Rays, and Distance
Geometry
1.3 Segments, Rays, and Distance

2. Lines A and C are on the line. B is between A and C.
In the symbol, may A and C be switched?
YES!!
C .
B .
A .

3. Segments On Segment , A and C are endpoints.
In the symbol, may A and C be switched?
YES!!
C .
A .

4. Rays On ray , A is the endpoint.
In the symbol, may A and C be switched?
NO!!
A .
C .

5. Opposite Rays Ray and ray are opposite rays if S is between R and T.

6. Lengths AC, without a symbol, is used to denote the length of . AC = 4

7. Number Line CD = _____ ? |15 – 7| = |8| = 8 CB = _____ ?
|7 – (-5)| = |7 + 5| = |12| = 12
AB = _____ ?
|-21 – (-5)| = | | = |-16| = 16 A B C D
-21 -5 7 15

8. Postulates and Axioms Statements that are accepted without proof.
They are the foundation for theorems, corollaries, and proofs of geometry.

9. Segment Addition Postulate
If B is between A and C, then…
AB + BC = AC.
C .
B .
A .

10. Find x and BC. x + x + 6 = 24 2x + 6 = 24 2x = 18 x = 9 Find BC.
= 9 + 6
= 15
AC = 24 x
x + 6 . . . A B C

11. Vocab Congruent objects have the same size and shape.
DE = FG is equivalent to
A Midpoint is the point that divides a segment into two congruent segments.
____ is the midpoint of _____
A bisector of a segment is a line, segment, ray, or plane that intersects a segment at its midpoint.
Which segment bisects which segment in the diagram below?
F . M AB XY
bisects AB . X . . . B M A . Y

12. What have you learned?
Please open your books to P.15. Let’s answer #6-#18 even.
6) False
8) True
10) True
12) True
14) False
16) False
18) True

13. Homework P. 7 #8-32 (8X) P. 15 #1-39 odd Look at 1.4 P. 20 #1-32(8X)
Test…