Select by Location: graphical examples 

Release 9.2
Last modified October 31, 2007 

Below are sections dedicated to each geometry combination that can be used as input to Select By Location dialog in ArcMap & the Select Layer By Location tool.
Each graphic shows a different topological relationships (lettered A, B, C, ...) and the accompanying table lists valid "overlap" type and which case (A, B, C, ...) would result in the input feature being selected.
WITHIN_A_DISTANCE: overlap type is not included in the graphical examples below. When this overlap type is used, the overlap type is set to INTERSECT and the features in the select layer are buffered by the distance specified.
INTERSECT  A 
CONTAINS  A 
CONTAINS_CLEMENTINI  A 
CONTAINED_BY  A 
WITHIN_CLEMENTINI  A 
ARE_IDENTICAL_TO  A 
HAVE_THEIR_CENTER_IN  A 
INTERSECT  A, C 
CONTAINS  A 
CONTAINS_CLEMENTINI  A 
CONTAINED_BY  A, C 
WITHIN_CLEMENTINI  A, C 
ARE_IDENTICAL_TO  A 
HAVE_THEIR_CENTER_IN  A, C 
INTERSECT  A, C 
CONTAINED_BY  A, C 
COMPLETELY_WITHIN  A 
WITHIN_CLEMENTINI  A 
HAVE_THEIR_CENTER_IN  A, C 
INTERSECT  A, C 
CONTAINED_BY  A, C 
COMPLETELY_WITHIN  A 
WITHIN_CLEMENTINI  A 
HAVE_THEIR_CENTER_IN  A, C 
INTERSECT  A, C 
CONTAINS  A, C 
CONTAINS_CLEMENTINI  A, C 
CONTAINED_BY  A 
WITHIN_CLEMENTINI  A 
ARE_IDENTICAL_TO  A 
HAVE_THEIR_CENTER_IN  A, D 
INTERSECT  A, C, E, F 
CONTAINS  A, F 
CONTAINS_CLEMENTINI  A, F 
CONTAINED_BY  A, C 
WITHIN_CLEMENTINI  A, C 
ARE_IDENTICAL_TO  A 
HAVE_THEIR_CENTER_IN  A, D 
INTERSECT  A, C, E, F 
CONTAINED_BY  A, C, E 
COMPLETELY_WITHIN  A 
WITHIN_CLEMENTINI  A, E 
HAVE_THEIR_CENTER_IN  A, D, E 
INTERSECT  A, C, D, E, F 
CONTAINED_BY  A, C, D, E 
COMPLETELY_WITHIN  A 
WITHIN_CLEMENTINI  A, D, E 
HAVE_THEIR_CENTER_IN  A, B, C, E, F 
INTERSECT  A, C, D 
CONTAINS  A, C, D 
COMPLETELY_CONTAINS  A, D 
CONTAINS_CLEMENTINI  A, D 
HAVE_THEIR_CENTER_IN  D 
INTERSECT  A, C, D, E 
CONTAINS  A, C, E 
COMPLETELY_CONTAINS  A 
CONTAINS_CLEMENTINI  A, E 
HAVE_THEIR_CENTER_IN  D 
INTERSECT  A, C, D, E, F, G, H, I, J 
CONTAINS  G, H 
COMPLETELY_CONTAINS  G 
CONTAINS_CLEMENTINI  G, H 
CONTAINED_BY  F, H 
COMPLETELY_WITHIN  F 
WITHIN_CLEMENTINI  F, H 
ARE_IDENTICAL_TO  H 
BOUNDARY_TOUCHES  C, E 
INTERSECT  A, C, D, E, F, G, H, I, J, K, L, M, N, O 
CONTAINED_BY  A, D, G, H, I, O 
COMPLETELY_WITHIN  A 
WITHIN_CLEMENTINI  A, D, G, H, I 
BOUNDARY_TOUCHES  D, F, G, H, I, K, L, M, N, O 
SHARE_A_LINE_SEGMENT_WITH  G, I, J, K, M, O 
CROSSED_BY_THE_OUTLINE_OF  C, E, H, L, N 
HAVE_THEIR_CENTER_IN  A, C, D, E, G, H, I, J, O 
INTERSECT  A, B 
CONTAINS  A, B 
COMPLETELY_CONTAINS  A 
CONTAINS_CLEMENTINI  A 
HAVE_THEIR_CENTER_IN  A, D 
INTERSECT  A, B, C, E 
CONTAINS  A, B, E 
COMPLETELY_CONTAINS  A 
CONTAINS_CLEMENTINI  A, B 
HAVE_THEIR_CENTER_IN  A, D 
INTERSECT  A, C, D, E, F, G, H, I, J, K, L, M, N, O 
CONTAINS  A, D, G, H, I, O 
COMPLETELY_CONTAINS  A 
CONTAINS_CLEMENTINI  A, D, G, H, I 
BOUNDARY_TOUCHES  D, F, G, H, I, K, L, M, N, O 
SHARE_A_LINE_SEGMENT_WITH  G, I, J, K, M, O 
CROSSED_BY_THE_OUTLINE_OF  C, E, H, L, N 
HAVE_THEIR_CENTER_IN  E, I, L 
INTERSECT  A, C, D, E, F, G, H, I, J, K, M 
CONTAINS  C, E, H, M 
COMPLETELY_CONTAINS  C 
CONTAINS_CLEMENTINI  C, E, H, M 
CONTAINED_BY  F, G, H, M 
COMPLETELY_WITHIN  F 
WITHIN_CLEMENTINI  F, G, H, M 
ARE_IDENTICAL_TO  H, M 
BOUNDARY_TOUCHES  D, E, G, H, I, J, M 
SHARE_A_LINE_SEGMENT_WITH  D, H, I, M 
CROSSED_BY_THE_OUTLINE_OF  A, E, G, J, K 
HAVE_THEIR_CENTER_IN  C, E, F, G, H, K, L 