In the field of electrical networks, there are two additional transforms that are considered to result in equivalent graphs which do not produce congruent graphs.
In addition, any two non-intersecting circles may be inverted into congruent circles, using circle of inversion centered at a point on the circle of antisimilitude.
The tilings of rectangles by other tiles which have attracted the most attention are those by congruent non-rectangular polyominoes, allowing all rotations and reflections.
Such beliefs were considered congruent with the democratic vision of outcome-based education and standards based education reform that all students will meet standards.