Segment addition postulate worksheet

If B is between A and C, then AB plus BC is AC. Write that as an equation, solve for x, and put x back in when the question asks for a length.

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Sigma Prep · sigmaprep.io/worksheets Name The Segment Addition Postulate Date Period Find each value asked for. Find $x$ B is the midpoint of $\overline{A C}$ . Find $x$ $B$ is between $A$ and $C$ . $A B = 5 x + 5$ , $B C = 2 x + 3$ , $A C = 36$ . Find $B C$ Find $Z D$ Find $x$ B is the midpoint of $\overline{A C}$ . Find $x$ $B$ is between $A$ and $C$ . $A B = 6 x - 5$ , $B C = 5 x - 8$ , $A C = 9$ . Find $B C$ Find $E D$ Find $x$ B is the midpoint of $\overline{A C}$ . Find $x$ $B$ is between $A$ and $C$ . $A B = 3 x - 3$ , $B C = 4 x + 3$ , $A C = 42$ . Find $B C$ Find $R B$ Find $x$ B is the midpoint of $\overline{A C}$ . Find $x$ $B$ is between $A$ and $C$ . $A B = 6 x - 8$ , $B C = 4 x - 5$ , $A C = 77$ . Find $B C$ Find $Y V$ Find $x$ B is the midpoint of $\overline{A C}$ . Find $x$ $B$ is between $A$ and $C$ . $A B = 4 x - 5$ , $B C = 3 x + 11$ , $A C = 34$ . Find $B C$ Find $Z R$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

The Segment Addition Postulate

Date Period

Find each value asked for.

Find $x$
B is the midpoint of $\overline{A C}$ . Find $x$
$B$ is between $A$ and $C$ . $A B = 5 x + 5$ , $B C = 2 x + 3$ , $A C = 36$ . Find $B C$
Find $Z D$
Find $x$
B is the midpoint of $\overline{A C}$ . Find $x$
$B$ is between $A$ and $C$ . $A B = 6 x - 5$ , $B C = 5 x - 8$ , $A C = 9$ . Find $B C$
Find $E D$
Find $x$
B is the midpoint of $\overline{A C}$ . Find $x$
$B$ is between $A$ and $C$ . $A B = 3 x - 3$ , $B C = 4 x + 3$ , $A C = 42$ . Find $B C$
Find $R B$
Find $x$
B is the midpoint of $\overline{A C}$ . Find $x$
$B$ is between $A$ and $C$ . $A B = 6 x - 8$ , $B C = 4 x - 5$ , $A C = 77$ . Find $B C$
Find $Y V$
Find $x$
B is the midpoint of $\overline{A C}$ . Find $x$
$B$ is between $A$ and $C$ . $A B = 4 x - 5$ , $B C = 3 x + 11$ , $A C = 34$ . Find $B C$
Find $Z R$



Sigma Prep · sigmaprep.io/worksheets Name The Segment Addition PostulateAnswer keyVersion 1 Date Period Find each value asked for. Find $x$ $x = 9$ B is the midpoint of $\overline{A C}$ . Find $x$ $x = 11$ $B$ is between $A$ and $C$ . $A B = 5 x + 5$ , $B C = 2 x + 3$ , $A C = 36$ . Find $B C$ $11$ Find $Z D$ $14$ Find $x$ $x = 5$ B is the midpoint of $\overline{A C}$ . Find $x$ $x = 13$ $B$ is between $A$ and $C$ . $A B = 6 x - 5$ , $B C = 5 x - 8$ , $A C = 9$ . Find $B C$ $2$ Find $E D$ $40$ Find $x$ $x = 6$ B is the midpoint of $\overline{A C}$ . Find $x$ $x = 9$ $B$ is between $A$ and $C$ . $A B = 3 x - 3$ , $B C = 4 x + 3$ , $A C = 42$ . Find $B C$ $27$ Find $R B$ $20$ Find $x$ $x = 3$ B is the midpoint of $\overline{A C}$ . Find $x$ $x = 13$ $B$ is between $A$ and $C$ . $A B = 6 x - 8$ , $B C = 4 x - 5$ , $A C = 77$ . Find $B C$ $31$ Find $Y V$ $37$ Find $x$ $x = 9$ B is the midpoint of $\overline{A C}$ . Find $x$ $x = 11$ $B$ is between $A$ and $C$ . $A B = 4 x - 5$ , $B C = 3 x + 11$ , $A C = 34$ . Find $B C$ $23$ Find $Z R$ $40$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

The Segment Addition PostulateAnswer keyVersion 1

Date Period

Find each value asked for.

Find $x$ $x = 9$
B is the midpoint of $\overline{A C}$ . Find $x$ $x = 11$
$B$ is between $A$ and $C$ . $A B = 5 x + 5$ , $B C = 2 x + 3$ , $A C = 36$ . Find $B C$ $11$
Find $Z D$ $14$
Find $x$ $x = 5$
B is the midpoint of $\overline{A C}$ . Find $x$ $x = 13$
$B$ is between $A$ and $C$ . $A B = 6 x - 5$ , $B C = 5 x - 8$ , $A C = 9$ . Find $B C$ $2$
Find $E D$ $40$
Find $x$ $x = 6$
B is the midpoint of $\overline{A C}$ . Find $x$ $x = 9$
$B$ is between $A$ and $C$ . $A B = 3 x - 3$ , $B C = 4 x + 3$ , $A C = 42$ . Find $B C$ $27$
Find $R B$ $20$
Find $x$ $x = 3$
B is the midpoint of $\overline{A C}$ . Find $x$ $x = 13$
$B$ is between $A$ and $C$ . $A B = 6 x - 8$ , $B C = 4 x - 5$ , $A C = 77$ . Find $B C$ $31$
Find $Y V$ $37$
Find $x$ $x = 9$
B is the midpoint of $\overline{A C}$ . Find $x$ $x = 11$
$B$ is between $A$ and $C$ . $A B = 4 x - 5$ , $B C = 3 x + 11$ , $A C = 34$ . Find $B C$ $23$
Find $Z R$ $40$

How to do these

B is between A and C. $A B = 2 x + 3$ , $B C = 3 x - 1$ , $A C = 27$ . Find $x$

The parts add to the whole.
2x + 3 plus 3x - 1 equals 27.
5x + 2 = 27.

The answer is $x = 5$ .

Where students go wrong

Stopping at x when the question asks for a length. Find AB means put x back into AB, and x itself is not a length on the drawing.

Also called segment addition, segment addition postulate, betweenness or midpoint find x.

What you can put on this worksheet

The segment addition postulate: Find $x$ — a segment split into 3x + 1 and 3x + 2 → $x = 6$
Midpoints, written in x: B is the midpoint of $\overline{A C}$ . Find $x$ — a segment split into 3x and x + 16 → $x = 8$
Find a length, not just x: $B$ is between $A$ and $C$ . $A B = 4 x - 7$ , $B C = 3 x + 2$ , $A C = 79$ . Find $B C$ → $38$
Overlapping lengths: Find $V N$ — points h, v, n, z on a line, labeled H, V, N, Z, 15, x − 2, x + 28, 23 → $19$

Questions about these worksheets

Yes. Every segment addition postulate sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the segment addition postulate questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 4: the segment addition postulate, midpoints, written in x, find a length, not just x and overlapping lengths. Tick as many as you want and set how many of each, or let it spread them evenly.

Stopping at x when the question asks for a length. Find AB means put x back into AB, and x itself is not a length on the drawing.

Segment addition postulate worksheet

Select your difficulty

The Segment Addition Postulate

The Segment Addition PostulateAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

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