Download Bell ringer Draw three noncollinear points A,B, and C. Then draw

Bell ringer
Draw three noncollinear points A,B, and C. Then draw
point D on line AB between points A and B. Draw
segment CD. Draw ray CA and ray CB.
1.
2.
3.
4.
Are
Are
Are
Are
points A,B and D collinear?
points B,C and D collinear?
ray CA and ray CB opposite rays?
ray DA and ray DB opposite rays?
See # 3
Line PQ extends in 2 directions ∞.
Ray PQ extends in 1 direction ∞.
Ray AB extends in 1 direction ∞.
Segment AB has 2 endpoints.
Line RS extends in 2 directions ∞.
Segment RS has 2 endpoints.
Line RS extends in 2 directions ∞.
Ray RS extends in 1 direction ∞.
True
Ray RS extends in 1 direction ∞, from R thru S.
Ray SR extends in 1 direction ∞, from S thru R.
True
True
False
False
False
Notes 1D: Segments and their measures
Vocabulary:
a postulate or axiom is a rule that is accepted without
proof.
Postulate 1 ruler postulate
Points on a line can be matched one to one with the real
numbers. The real numbers that corresponds to a point is the
coordinate of the point.
The distance between points A and B, written as AB, is the
absolute value of the difference between the coordinates of A
and B.
AB is also called the length of AB.
When three points lie on a line, you can say that one of them
is between the other two.
Postulate 2 Segment Addition Postulate:
If B is between A and C, then AB+BC=AC. If AB+BC=AC,
then B is between A and C.
Example 1: Using the segment Addition Postulate
In the diagram of the collinear points, DE=2, EF=3, and DE=FG.
Find each length.
D
E
G
F
1. FG
2. DF
3. DG
4. EG
1. In the diagram of the collinear points AB=5 and BC=AB. Find
the following lengths.
A
B
a. AC
b. AB
c. Are any segments congruent?
C
2. In the diagram of the collinear points, HK=9, HI=JK and
IJ=1. Find the following lengths.
H
I
K
J
a. HI
b. JK
c. HJ
d. IK
3. In the diagram of the collinear points, GK=24, HJ=10, and
GH=HI=IJ. Find each length.
G
a. HI
d. JK
b. IJ
e. IG
c. GH
f. IK
H I J
K
Suppose J is between H and K. Use the segment Addition Postulate
to solve for x. Then find the length of each segment.
4. HJ=2x+4
JK=3x+3
KH=22
5. HJ=5x-3
JK=8x-9
KH=131
6. HJ=2x+1/3
JK=5x+2/3
KH=12x-4
Assignment 1D
Worksheet 1D
ODDS