Draw $\overline{\mathrm{AB}}$ of length $10 \mathrm{cm}$. Construct the perpendicular bisector of $\overline{\mathrm{AB}}$ and name it $\overline{\mathrm{PQ}}$. Take a point $\mathrm{D}$ on $\overline{\mathrm{PQ}}$ and measure the lengths of $\overline{\mathrm{DA}}$ and $\overline{\mathrm{DB}}$.

Construct an angle of $52.5˚$ without using a protractor.

Draw an equilateral triangle using a ruler and compasses. Use the steps of constructing a $60˚$ using a ruler and compasses.

There are two points $\mathrm{A}$ and $\mathrm{B}$. Construct a circle with centre at $\mathrm{A}$ and passing through $\mathrm{B}$. How many such circles can you draw?