Question

Can you please help draw this loci?The locus of point in the interior of the square ABCD AND ALSO equidistant from its side AB and BC is diagonal BD.

Answer 1

First let's draw the square ABCD:

The point is interior to the square, and also is equidistant from the sides AB and BC.

Drawing all the points that follow these rules in green, we have:

So this loci is represented by the diagonal BD of the square. All the points of this diagonal are equidistant to the sides AB and BC.