For the following figure, find each distance.

a.$RS$

b.$RQ$

c.$PT$

Consider the number line.

On a number line, the coordinate of a point is the value that the point represents.

The ruler postulate states that distance between two points equals the absolute value of the difference between their coordinates.

From the number line, the coordinate of point$R$is 0 and the coordinate of point$S$is 1.

Calculate the distance of$RS$as follows:

$$\begin{gathered} RS=|1-0| \\ =1 \end{gathered}$$

Thus, the distance of $RS$is 1 unit.

Consider the number line.

On a number line, the coordinate of a point is the value that the point represents.

The ruler postulate states that distance between two points equals the absolute value of the difference between their coordinates.

From the number line, the coordinate of point$R$is 0 and the coordinate of point$Q$is $-1$.

Calculate the distance of$RQ$as follows:

$$\begin{gathered} RQ=|-1-0| \\ =|-1| \\ =1 \end{gathered}$$

Thus, the distance of $RQ$is 1 unit.

Consider the number line.

On a number line, the coordinate of a point is the value that the point represents.

The ruler postulate states that distance between two points equals the absolute value of the difference between their coordinates.

From the number line, the coordinate of point $P$is $-2$and the coordinate of point $T$is $2$.

Calculate the distance of $RQ$as follows:

$$\begin{gathered} PT=|-2-2| \\ =|-4| \\ =4 \end{gathered}$$

Thus, the distance of $PT$is 4 unit.