SEGMENT ADDITION

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SEGMENT ADDITION
This stuff is AWESOME!
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Can you see a shark?
What about now?
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Between
Definition X is between A and B if AX XB
AB.
AX XB AB
Notice that this does not say X is in the middle
of A and B it is just somewhere between A and B.
Therefore AX may not equal XB
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The Segment Addition Postulate
Postulate
If C is between A and B, then AC CB AB.
Example
If AC x , CB 2x and AB 12, then, find x,
AC and CB.
2x
x
Step 1 Draw a figure
Step 2 Label fig. with given info.
x 4 AC 4 CB 8
Step 3 Write an equation
Step 4 Solve and find all the answers
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Congruent Segments
Definition
Segments with equal lengths. (congruent symbol
)
Congruent segments can be marked with dashes.
Correct notation
Incorrect notation
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Bisect
To cut into two equal parts. FOR SEGMENTS Any
segment, line or plane that divides into two
congruent parts, intersecting the segment at its
midpoint.
Definition
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N is between L and P. LN 14 and PN 12.
Find LP.
14
12
L
P
N
Q is between R and T. RT 18 and QR 10. Find
QT.
10
R
T
Q
18
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Find MN if N is between M and P, MN 3x 2, NP
18, and MP 5x.
3x 2
18
M
P
N
5x
MN 3 (10 ) 2 MN 32
3x 2 18 5x 3x 20 5x -3x
-3x 20 2x 2
2 10 x
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YOU TRY!! 1) B is between A and C. Find the
value of x and the measure of BC if AB 3, BC
4x 1, AC 8.
3x 2
8
5x
MN 3 (10 ) 2 MN 32
3x 2 18 5x 3x 20 5x -3x
-3x 20 2x 2
2 10 x
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You Try!!!

1. B is between A and C. Find the value of x and the
   measure of BC if AB 3, BC 4x 1, AC 8.
2. Y is between X and Z, find the value of x and the
   measure of XZ. XY 24, YZ 3x, XZ 7x 4.
3. If M is between L and N and LM 2, MN 4x 6,
   LN 32, then find x and MN.
4. If F is between E and G and EF 26, FG 5x, EG
   9x 6, find x and EG.

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CLASSWORK / HOMEWORK