GeometryChallengeTransformations
Transformations · Challenge problem
Consider these five compositions of two transformations of the plane: (1) a reflection, then a translation; (2) a rotation, then a dilation with scale factor ; (3) a dilation with scale factor , then a rotation; (4) a dilation with scale factor , then a dilation with scale factor ; (5) a reflection, then a dilation with scale factor . For how many of the five is the composition GUARANTEED to preserve every distance (be an isometry)?