Question

A sequence of transformations maps △ABC onto △A'B'C'. The type of transformation that maps △ABC onto △ABC is a______.

When △ABC is reflected across the line x=2 to form △A'B'C', vertex ____ of △ABC will have the same coordinates as 6."

Answer 1

The transformation that maps △ABC onto itself is the identity transformation, and when it is reflected across the line x=2 to form △A'B'C', no vertex will have the same coordinates.

Step-by-step explanation:

The type of transformation that maps △ABC onto itself is an identity transformation. An identity transformation means there is no change in the size, shape, position, or orientation of the figure; it maps every point in the figure to itself. When △ABC is reflected across the line x=2 to form △A'B'C', none of the vertices of △ABC will have the same coordinates as 6, since all points are being reflected to a new position; the coordinates of any vertex after reflection will be a transformation of its original coordinates.