Draw a circle of radius $5 \mathrm{cm}$ and divide it into six equal sectors.

[HINT: Draw arcs cutting the circle with the opening of a compass equal to its radius.]

Mark the image of the point $P$ in line $l$. Name it as $P\text{'}$. Measure $AP,BP,AP\text{'},BP\text{'}$. Is $AP=AP\text{'},BP=BP\text{'}$?

Copy $\angle AOB$ shown in the given figure. Using a ruler and compass, construct an angle equal to $2\frac{1}{2}$times $\angle AOB$.

Given $\overline{AB}$ of length $3.9 \mathrm{cm}$, construct $\overline{PQ}$ such that the length of $\overline{PQ}$ is twice that of $\overline{AB}$. Verify by measurement.

[Hint: Construct $\overline{PX}$ such that length of $PX=$length of $\overline{AB}$; then cut off $\overline{XQ}$ such that $\overline{XQ}$ also has the length of $\overline{AB}$.]