Segment Addition Postulate

Segment Addition Postulate

We have been graphing lines. Lines have arrows at each end and go on forever and ever Amen.

A line SEGMENT is part of a line which means it has 2 endpoints.

When we are talking about points we use capital letters like A, B and C.

When we are talking about a length of a segment we would use the 2 end points to name it such as line segment AB would just be written AB.

Line segment AB plus line segment BC is equal to line segment AC would be written:

AB + BC = AC

We can find the length of a segment on a number line by finding the distance between 2 points.

Multiple Choice

Find AC

• 3
• 4
• 5
• 6

Multiple Choice

Find AB

• 1
• 2
• 3
• 4

We can also compare lengths on a number line.

Multiple Choice

Determine if segments AC and CB are congruent

• True
• False
• Cannot be determined

Multiple Choice

The Segment Addition Postulate states that if B is between A and C then AB + BC = AC

• True

• False

True

If you draw a segment with A and C as the endpoints and add a point B between them then AB + BC would equal AC. The sum of the parts is the whole!

Multiple Choice

Find AC

• 7
• 8
• 22
• 23

Multiple Choice

If GH = 8 and HI = 17, Find GI

• 8
• 9
• 24
• 25

Multiple Choice

Given that A is between B and C, which Segment Addition statement is correct?

• AB + BC = AC
• BC + BA = BC
• AB + AC = BC
• AB + BC = AC

Now if we know the whole and a part, can you find the other part?

YES!

The same way you figured out how much money you have left, is how you would find the missing length of a segment.

Multiple Choice

Find ST.

• 11
• 12
• 13
• 14

Multiple Choice

If JK = 7 and
LJ = 20, find KL

• 12
• 13
• 27
• 28

Multiple Choice

Find KL.

• 18
• 15
• 6
• 20

Poll

Finding a missing segment length with numbers is...

• EASY!

• doable.

• kind of confusing.

• hard because I don't know my addition and subtraction facts.

Now, if you can do it with numbers can you do it with ALGEBRA???

I think you can. I BELIEVE you can. You got this

MIGHTY BLACKHAWKS!!

Multiple Choice

Use the figure to write and solve an equation for x.

• 5
• 6
• 7
• 8

Multiple Choice

Now that you know the value of x, find AB and BC.

• AB = 11 and BC = 22
• AB = 11 and BC = 17
• AB = 11 and BC = 27
• AB = 11 and BC = 21

To check your work, add the segments together to see if it checks.

Multiple Choice

Does 11 + 22 add to 33?

• Yes, it is correct!

• No, I made a mistake.

Multiple Choice

If RT=36, find the value of x.

• 3

• 4

• 5

• 6

Multiple Select

What are the lengths of RS and ST?

• 12

• 25

• 26

• 11

Poll

How do you feel about the SEGMENT ADDITION POSTULATE?

• I GOT THIS!!

• I think this is a doable.

• I'm going to need some practice.

• I'm going to need a lot of practice.