Points, Lines & Segments Worksheet

Sample problems

Show your work in the space provided. The Segment Addition Postulate says that if $B$ lies between $A$ and $C$, then $AB+BC=AC$. The midpoint of a segment divides it into two equal halves. On a number line, the distance between two points equals the absolute value of the difference of their coordinates.

1. 1. Point $B$ lies between $A$ and $C$ on a line. If $AB=5$ and $BC=8$, find $AC$.
2. 2. On a number line, point $P$ is at $-3$ and point $Q$ is at $7$. Find the distance $PQ$.
3. 3. $M$ is the midpoint of $\overline{XY}$. If $XM=9$, find $XY$.
4. 4. On a number line, the midpoint of segment $\overline{AB}$ is at $4$. If $A$ is at $-2$, find the coordinate of $B$.

Plus 10 more problems and a full answer key in the PDF.