From your description the top left and bottom right corners are generally referred to as the Northwest (NW) and Southeast (SE) corners of a bounding box. Determining if a point is inside is simply checking if the latitude and longitude are within the outer latitude and longitude of the bounding box. Below is psuedo code (where NW.Lat is the latitude of the NW corner, etc).
If ( ( Lat <= NW.Lat && Lat >= SE.Lat ) &&
( Lon >= NW.Lon && Lon <= SE.Lon ) )
{
// The point is in the box
}