The examples shown below represent common methods for joining two pieces of wood at intersecting edges. The type of joints you select should be determined by the strength required, cost to create, and final appearance of the product. See DESCRIPTION below illustrations.
Website by Dixieline for tips and instructions on how to make strong joints in wood.

The LAP joint is the easiest to construct but needs nails or screws with the glue to provide strength. The end grain of one piece will show from one side or the other.
The MITER joint is best looking as no end grain shows but it is more difficult to construct as the 45° angles must be cut accurately. Finishing nails are usually needed with glue to strengthen the joint.
The TONGUE & GROOVE joint is stronger than the LAP joint but requires more work to create. This joint works well on horizontal pieces like drawer supports or shelves.
The DADO joint is stronger and better looking than the LAP joint and finishing nails can be hidden eassily. This joint works well on recessed drawer fronts.
The DOVETAIL joint is the strongest of the joints shown as the two pieces interlock. This joint requires much more work to construct but is considered high quality. This joint can be used on all corners but is typically found in drawer construction.
The MORTISE & TENON joint is very strong and takes considerable work to construct. This joint works well for connecting chair or table rungs to legs.
The DOWEL joint is very strong and requires care in locating the holes for the wood dowels. The dowels are usually made from .25" diameter birch or maple. This joint is typically used to join boards along their long edges.