01.	+Segment+Addition+Postulate

01. Segment Addition Postulate
Briana Setnitzky and Gladys Rivera Martinez

=
Another word for "postulate" is "axiom". Overall, it is a statement that is not proven or considered to be self evident. Therefore, it is the truth taken for granted, and it is a main starting point to help you continue with inferring or deducing other truths. ======

Therefore, both segments AB and BC add up to the total distance of the entire segment, AC.
So, by using the Segment Addition Postulate, you will be able to learn and figure out how to find the total measure of a segment by using smaller segments that are included in that particular segment.

Soon you will be experts on using the Segment Addition Postulate. It will prove to be very helpful when you have to find the full length of an entire segment. Just add the two segments together, and you get the value of the entire thing!

Another Look at It: Looking at segment XY and segment YZ, you can add their measures together to get the length of the entire line XZ. Therefore, according to the Segment Addition Postulate, XY + YZ = XZ.

If the length of segment XY is 2' and the length of segment YZ is 5', then the total length of the segment XZ is 7'.

This chart shows how adding segment AZ to segment ZB, you can get the measure of AB. The parts of the entire segment equal the whole thing! This chart just gives you a visual of how the green PG segment plus the red QR segment equals the entire length of the PR segment.

Overall Rules: Distinguish two segments in the line Take the two and add them together This gives you the length of the entire line

Here are some practice examples for you: 1. If segment RS is 14" and segment QR is 9", what is the length of segment QS? 2. Point J is between H and K. HJ= 2x-5 and JK=4x-5. If x=2, what is the length of HK? 3. Point L is between points N and M. If NL= 6x-5, LM= 2x+3, and NM=30, find x, NL and LM. 4. Let B be between A and C so AB+BC=AC. Let AB=x+3, BC=2x-1 and AC=26. 5. If GK=24, HJ=10, and GH=HI=IJ....what is the length of each segment(HI,IJ,GH,JK,IG,IK)? •-•-•-•-• G H I J K

Solutions: 1. RS+QR=QS 14"+9"=23"

2. HJ+JK=HK 2x-5+4x-5=

2x-5= 2(2)-5= 4-5= -1

4x-5= 4(2)-5= 8-5= 3

HK -1+3=2

3. NL+LM=NM 6x-5+2x+3=30 8x-2=30 +2 +2 8x=32(divide by 8) x=4

NL=6x-5 6(4)-5= 24-5= 9

LM=2x+3 2(4)+3= 8+3= 11

4. x+3+2x-1=26 3x+2=26 3x=24 x=8

AB---x+3 8+3 11

BC---2x+1 2(8)+1 17 5. HI=5 IJ=5 GH=5 JK=9 IG=10 IK=14 --5--- 5 5- 9 •-•-•-•-• G....H..... I.... J......... K whole segment: GK=24

Congratulations on learning what the Segment Addition Postulate is, what it means, and how to use it correctly!

Here are some helpful links where you can check out how to use the Segment Addition Postulate:

[|Segment Addition Postulate 2]
[|Segment Addition Postulate Video]

Pictures and diagrams may not be drawn to scale. They are for visual reference. Thanks.