Composition of Transformations: Translation and Reflection

Questions

1. MultiChoice

   Point (2, 3) is translated by (x+1, y-2) then reflected over x-axis. What is the final image?

2. MultiChoice

   Point (-4, 5) is reflected over y-axis then translated by (x+2, y+3). What is the final image?

3. MultiChoice

   Point (0, -2) is reflected over x-axis then translated 3 units left. What is final point?

4. MultiChoice

   A glide reflection consists of which two transformations combined?

5. MultiChoice

   Point (5, 1) is translated by (x-5, y+2) then reflected over y-axis. Final point?

6. MultiChoice

   Point (-1, -3) is reflected across line y = x then translated up 4 units. Final image?

7. MultiChoice

   Apply (x, y) -> (x+2, y) to (1, 4), then reflect across x-axis. What is the result?

8. MultiChoice

   Reflect (3, 2) over y-axis, then apply (x, y) -> (x-1, y-1). What is the result?

9. MultiChoice

   Translate (2, 2) 3 units right, then reflect over line y = x. What is the result?

10. MultiChoice

    Does the order of composition (Translation then Reflection) always produce the same result?

11. MultiChoice

    Point (4, -6) is reflected over x-axis, then translated by (x-4, y+6). What is the final image?

12. MultiChoice

    Point (-2, -2) is translated by (x+2, y+2) then reflected over y-axis. Final image?