Question

Construct a line segment whose length is the same as the line segment $\mathrm{PQ}$ shown below.

Answer 1

Step $1$: Draw a line $l$:

To construct a line segment whose length is the same as the line segment $\mathrm{PQ}$,

We draw a line $l$ and mark a point $\mathrm{A}$ on this line,

Step $2$: Measure line segment $\mathrm{PQ}$ :

We measure line segment $\mathrm{PQ}$ using compass,

Step $3$: Draw an arc:

Now, keeping compass opened the same lenght,

we keep pointed end at point $\mathrm{A}$, and draw an arc on line $l$, like follows,

Hence, the required line segment is $\mathrm{AB}$.