No matter where you live in the metropolitan Washington area, your family can participate in "Summer Quest '83." Libraries in nine local jurisdictions with more than 100 participating branches have chosen this theme for their summer reading programs.

Children will be issued passports to the "Seven Summer Kingdoms": Laughter, the Supernatural, Mystery, Magic, Now, the Past and the Future. There is space under each kingdom heading to record books read in each area, and plenty of suggestions in each category.

Every week a different sticker will be issued to children who have read or (for pre-readers) who have had read to them a book in that week's kingdom. At the end of the summer, children who have visited each kingdom will be issued a certificate.

Individual librarians are being encouraged to fashion programs to suit their patrons' needs, so it is a good idea to check at your nearest branch library to see what format yours will take. Most libraries will offer story hours, films and special appearances.

"Summer Quest '83" will end with an Aug. 20 celebration at the Martin Luther King main library, Ninth and G streets NW.

The Washington area's Library Theatre troupe, Summer Storybuilders, is taking four plays, "The Greedy Old Fat Man," "The Wise Old Woman," "Androcles and the Lion" and "There's a Nightmare in My Closet," to District branch libraries throughout the summer. Audience improvisations are encouraged. To find out when Library Theatre will be performing nearest you, call Children's Services: 727-1151.

Library Theatre also is presenting "Androcles and the Lion," "The Wise Old Woman," "The Husband Who Minded the House" and "The Master and the Servant" at 11 a.m. Monday-Friday (through Aug. 26) at Wolf Trap's Theatre-in-the-Woods. Reservations required: 255-1827.

All library performances and those at Wolf Trap are free.

Television station WETA (Channel 26), beginning Monday, will get into the reading act with a new series for young readers called "Reading Rainbow." Host LeVar Burton and guests James Earl Jones, Lily Tomlin, Madeline Kahn and other stars will read several well-known children's stories. The programs will be shown at 11:30 a.m. and 6 p.m. through July and will be repeated in August.