Question

09/03 - segment bisector practice l (updated)
m is the mid - point of each segment. find each specified length.
(a)
p m q
22
pm =
mq =
(b)
t m s
15
tm =
ms =

Explanation:

Step1: Recall mid - point property

If $M$ is the mid - point of a line segment, it divides the segment into two equal parts.

Step2: Solve for (a)

Since $M$ is the mid - point of $\overline{PQ}$ and $PQ = 22$, then $PM=\frac{PQ}{2}$ and $MQ=\frac{PQ}{2}$. So $PM=\frac{22}{2}=11$ and $MQ = 11$.

Step3: Solve for (b)

Since $M$ is the mid - point of $\overline{TS}$ and $TS = 15$, then $TM=\frac{TS}{2}$ and $MS=\frac{TS}{2}$. So $TM=\frac{15}{2}=7.5$ and $MS = 7.5$.

Answer:

(a) $PM = 11$, $MQ = 11$
(b) $TM = 7.5$, $MS = 7.5$