L5 · Transformations involving dilations

1. 1.

   Point P(1, 4) is dilated by 2 about the origin, then translated 3 units up. Final image?

   Answer. (2, 11)

   Dilate: (2, 8). Translate: (2, 11).

2. 2.

   Point P(4, 3) is dilated by 2 about the origin, then translated 3 units up. Final image?

   Answer. (8, 9)

   Dilate: (8, 6). Translate: (8, 9).

3. 3.

   Point P(3, 2) is dilated by 2 about the origin, then translated 3 units up. Final image?

   Answer. (6, 7)

   Dilate: (6, 4). Translate: (6, 7).

4. 4.

   Point P(2, 3) is dilated by 2 about the origin, then translated 3 units up. Final image?

   Answer. (4, 9)

   Dilate: (4, 6). Translate: (4, 9).

5. 5.

   Point P(1, 2) is dilated by 2 about the origin, then translated 3 units up. Final image? Write a complete answer — Owen will compare with a partner.

   Answer. (2, 7)

   Dilate: (2, 4). Translate: (2, 7).

6. 6.

   Point P(4, 2) is dilated by 2 about the origin, then translated 3 units up. Final image? Write a complete answer — Priya will compare with a partner.

   Answer. (8, 7)

   Dilate: (8, 4). Translate: (8, 7).

7. 7.

   Point P(1, 2) is dilated by 2 about the origin, then translated 3 units up. Final image? Write a complete answer — Mei will compare with a partner.

   Answer. (2, 7)

   Dilate: (2, 4). Translate: (2, 7).

8. 8.

   Point P(2, 1) is dilated by 2 about the origin, then translated 3 units up. Final image? Write a complete answer — Theo will compare with a partner.

   Answer. (4, 5)

   Dilate: (4, 2). Translate: (4, 5).

9. 9.

   Point P(3, 4) is dilated by 2 about the origin, then translated 3 units up. Final image? Write a complete answer — Nora will compare with a partner.

   Answer. (6, 11)

   Dilate: (6, 8). Translate: (6, 11).

10. 10.

    Point P(4, 1) is dilated by 2 about the origin, then translated 3 units up. Final image? Write a complete answer — Owen will compare with a partner.

    Answer. (8, 5)

    Dilate: (8, 2). Translate: (8, 5).

11. 11.

    Think

    Grace tried this problem:
    Point P(4, 1) is dilated by 2 about the origin, then translated 3 units up. Final image?
    Grace wrote (9, 5). That is not correct. What is the right answer?

    Answer. (8, 5)

    Grace’s answer (9, 5) is off. Dilate: (8, 2). Translate: (8, 5).

12. 12.

    Think

    Mei tried this problem:
    Point P(3, 2) is dilated by 2 about the origin, then translated 3 units up. Final image?
    Mei wrote (12, 7). That is not correct. What is the right answer?

    Answer. (6, 7)

    Mei’s answer (12, 7) is off. Dilate: (6, 4). Translate: (6, 7).

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