Mixed Comprehensive Review of Rigid Transformations

Questions

1. MultiChoice

   Which of the following is NOT a rigid transformation?

2. MultiChoice

   Point A(3, -4) is reflected over x-axis to A', then translated by (x-2, y+1) to A''. Find A''.

3. MultiChoice

   Which transformation rule represents reflection across the line y = -x?

4. MultiChoice

   Point (-6, 2) is rotated 90 degrees CCW about origin. What are the image coordinates?

5. MultiChoice

   If transformation T maps (x, y) -> (x - 8, y + 3), what inverse transformation undoes T?

6. MultiChoice

   A segment with endpoints (1, 2) and (4, 6) has length 5. After rotation of 180 degrees, its length is:

7. MultiChoice

   Which transformation preserves distance but reverses orientation?

8. MultiChoice

   Point (0, -5) is rotated 270 degrees CCW about origin. What is the image?

9. MultiChoice

   Triangle ABC is mapped to A'B'C' by (x, y) -> (-x, y). This is a reflection across:

10. MultiChoice

    Reflecting (2, -8) across the y-axis gives:

11. MultiChoice

    A 90 degree clockwise rotation is equivalent to which counterclockwise rotation?

12. MultiChoice

    What are the coordinates of the origin after any rotation centered at the origin?