(a)[1]
On the diagram, construct the perpendicular bisector for $AB$.
(b(i))[1]
On the diagram, construct the locus of points within triangle $ABC$ that are $7$ cm from $C$.
(b(ii))[1]
On the diagram, construct the locus of points inside triangle $ABC$ that are at equal distances from $AB$ and $AC$.
(c)[1]
$P$ is any point which is equidistant from $A$ and $B$, more than $7$ cm from $C$, and closer to $AC$ than $AB$. Find the limiting positions of $P$ and label them $P_1$ and $P_2$.