Assertion: isometry | /r/HasProperty | the identity transformation
Facets:
value: in the euclidean plane
type: LOCATION
Source sentences:
text: In the Euclidean plane, any isometry that maps each of three non-collinear points (points that do not all lie on one line) to each other is the identity transformation (the transformation that sends every point to itself).
text: If an isometry in the plane has more than one fixed point, it is either a reflection (over an axis which crosses that point) or the identity transformation.