Describe the locus for the locus of a point in rhombus ABCD, so that it is equidistant from i) AB and BC; ii) B and D.

(i)

The locus of the point in a rhombus \[ABCD\]which is equidistant from \[AB\text{ }and\text{ }BC\] will be the diagonal \[BD\]of the rhombus.

(ii)

The locus of the point in a rhombus \[ABCD\]which is equidistant from \[B\text{ }and\text{ }D\]will be the diagonal \[AC\]