A symmetry question
Posted: Tue Dec 20, 2011 10:09 am
Dear All
Could anyone out help in resolving a question that my niece and I are having a disagreement with ?
The question is :
A square grid is separated into 16 small squares ( a diagram of a 4 by 4 square is given but I can't seem to insert diagrams here - each corner is identified as A B C and D and diagonal line from AC )
How many ways can two squares be shaded so that the grid has symmetry about the diagonal AC if :
a) the two squares must not include the diagonal line ?
b) the two squares must include the diagonal line ?
c) On the grids below ( again six 4 by 4 squares are given with A B C D as the corners with two diagonal lines AC and BD),
show all the ways exactly two squares can be shaded so that the grid has symmetry about the two diagonal lines AC and BD. The question also says - (You may not need to use all the grids).
If hermanmunster or anyone else out there can help - then we would be very grateful and would like to thank you in advance
Could anyone out help in resolving a question that my niece and I are having a disagreement with ?
The question is :
A square grid is separated into 16 small squares ( a diagram of a 4 by 4 square is given but I can't seem to insert diagrams here - each corner is identified as A B C and D and diagonal line from AC )
How many ways can two squares be shaded so that the grid has symmetry about the diagonal AC if :
a) the two squares must not include the diagonal line ?
b) the two squares must include the diagonal line ?
c) On the grids below ( again six 4 by 4 squares are given with A B C D as the corners with two diagonal lines AC and BD),
show all the ways exactly two squares can be shaded so that the grid has symmetry about the two diagonal lines AC and BD. The question also says - (You may not need to use all the grids).
If hermanmunster or anyone else out there can help - then we would be very grateful and would like to thank you in advance