Question

I need some clarification on this question:

Let Q be the point shown in the figure below. Draw the image of Q under the following mappings:

The question then lists various combinations of composed isometries. However, since Q lies on a line and thus is a fixed point such that F(Q) = Q, doesn't Q not change for any of the isometries applied?

Answer 1

The transformations can include:
- Rotations
- Translations
- Reflections

so the point Q can move

Answer 2

e.g. reflection about the line y=x

Answer 3

Thanks for the clarification

Answer 4

yw :)