L3 · Sequences of transformations and congruence

1. 1.

   Point A(2, 1) is translated 2 units right, then reflected over the y-axis. Final image?

   Answer. (-4, 1)

   After translate: (4, 1). After reflect over y-axis: (-4, 1).

2. 2.

   Point A(4, 2) is translated 3 units right, then reflected over the y-axis. Final image?

   Answer. (-7, 2)

   After translate: (7, 2). After reflect over y-axis: (-7, 2).

3. 3.

   Point A(1, 1) is translated 2 units right, then reflected over the y-axis. Final image?

   Answer. (-3, 1)

   After translate: (3, 1). After reflect over y-axis: (-3, 1).

4. 4.

   Point A(2, 2) is translated 1 units right, then reflected over the y-axis. Final image?

   Answer. (-3, 2)

   After translate: (3, 2). After reflect over y-axis: (-3, 2).

5. 5.

   Point A(1, 1) is translated 1 units right, then reflected over the y-axis. Final image? Write a complete answer — Elena will compare with a partner.

   Answer. (-2, 1)

   After translate: (2, 1). After reflect over y-axis: (-2, 1).

6. 6.

   Point A(3, 3) is translated 3 units right, then reflected over the y-axis. Final image? Write a complete answer — Grace will compare with a partner.

   Answer. (-6, 3)

   After translate: (6, 3). After reflect over y-axis: (-6, 3).

7. 7.

   Point A(4, 3) is translated 3 units right, then reflected over the y-axis. Final image? Write a complete answer — Ava will compare with a partner.

   Answer. (-7, 3)

   After translate: (7, 3). After reflect over y-axis: (-7, 3).

8. 8.

   Point A(2, 2) is translated 3 units right, then reflected over the y-axis. Final image? Write a complete answer — Grace will compare with a partner.

   Answer. (-5, 2)

   After translate: (5, 2). After reflect over y-axis: (-5, 2).

9. 9.

   Point A(4, 1) is translated 1 units right, then reflected over the y-axis. Final image? Write a complete answer — Luis will compare with a partner.

   Answer. (-5, 1)

   After translate: (5, 1). After reflect over y-axis: (-5, 1).

10. 10.

    Point A(3, 3) is translated 2 units right, then reflected over the y-axis. Final image? Write a complete answer — Theo will compare with a partner.

    Answer. (-5, 3)

    After translate: (5, 3). After reflect over y-axis: (-5, 3).

11. 11.

    Think

    Sam tried this problem:
    Point A(4, 3) is translated 1 units right, then reflected over the y-axis. Final image?
    Sam wrote (-4, 3). That is not correct. What is the right answer?

    Answer. (-5, 3)

    Sam’s answer (-4, 3) is off. After translate: (5, 3). After reflect over y-axis: (-5, 3).

12. 12.

    Think

    Priya tried this problem:
    Point A(2, 1) is translated 1 units right, then reflected over the y-axis. Final image?
    Priya wrote (-6, 1). That is not correct. What is the right answer?

    Answer. (-3, 1)

    Priya’s answer (-6, 1) is off. After translate: (3, 1). After reflect over y-axis: (-3, 1).

Original extra practice. Keys are computed from the items, not guessed.