Coordinate challenge

The letters at (1,1), (1,2) and (1,3) are all symmetrical about a vertical line.

The letter at (4,2) is not symmetrical in any way.

The letters at (1,1), (2,1) and (3,1) are symmetrical about a horizontal line.

The letters at (0,2), (2,0) have rotational symmetry.

The letter at (3,1) consists of just straight lines.

The letters at (3,3) and (2,0) consist of just curved lines.

The letters at (3,3), (3,2) and (3,1) are consecutive in the alphabet.

The letters at (0,2) and (1,2) are at the two ends of the alphabet.

You could use this interactivity to try out your ideas.