Reflection does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.
and my teacher says that a translation, rotation, and dilation all preserve the orientation. I think it has to do with naming the triangle.
My Definition. Key Characteristics. The following are true about orientation of vertices: of points after a transformation has been applied to a geometric figure. It is preserved during these transformations: translations, dilations, and rotations.
By one-to one we mean that given two distinct points A, and B in the plane, then under a transformation, the . Thus reflection does NOT preserve orientation.
ISOMETRY: length is preserved, so the figures are congruent; preserves DIRECT ISOMETRY: orientation is preserved; the order of the lettering in the figure.
The flip is performed over the “line of reflection.” Lines of symmetry are examples of lines of reflection. ✓ Reflections are isometric, but do not preserve orientation.
Orientation-Preserving. A nonsingular linear map A:R^n->R^n is orientation- preserving if det(A)>0. Weisstein, Eric W. "Orientation-Preserving." From.
Students must also recognize that the orientation of the figure and/or orientation of the process standards to develop transformational geometry concepts.
In mathematics, orientation is a geometric notion that in two dimensions allows one to say when . This means that an orientation of a zero-dimensional space is a function this orientation, then, because all isomorphisms among zero- dimensional vector spaces preserve the ordered basis, they also preserve the orientation.