Question

The line segment $\text{PQ}$ measures $17$ cm in length. What are the lengths of $\text{PM}$ and $\text{QM}$, if point $\text{M}$ is the midpoint of $\text{PQ}?$

• A. $\text{PM}=8$ cm, $\text{QM}=9$ cm
• B. $\text{PM}=10$ cm, $\text{QM}=7$ cm
• C. $\text{PM}=\text{QM}=8.5$ cm
• D. $\text{PM}=9$ cm, $\text{QM}=8$ cm

Answer 1

The correct option is C $\text{PM}=\text{QM}=8.5$ cm


Mid point is a point which divides a line segment into two equal halves.

From the attached figure,

Point $\text{M}$ is the point which divides the line segment $\text{PQ}$ into two equal halves as $\text{PM}$ and $\text{QM}$ respectively.

Thus, point $\text{M}$ is the mid point.

So, $\text{PM}=\text{QM}=\frac{\text{PQ}}{2}$

$=\frac{17}{2}$

$=8.5cm$