MIA · Mixed set · Unit 2

1. 1.

   Dilate point P(2, 1) about the origin by scale factor 4. Image?

   Answer. (8, 4)

   (x, y) → (4x, 4y) = (8, 4).

2. 2.

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

   Answer. (8, 11)

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

3. 3.

   Two parallel lines are cut by a transversal. One corresponding angle measures 66°. Find the other corresponding angle.

   Answer. 66°

   Corresponding angles are congruent.

4. 4.

   Two angles of a triangle measure 45° and 46°. Find the third angle.

   Answer. 89°

   45 + 46 + x = 180 → x = 89.

5. 5.

   Dilate point P(4, 3) about the origin by scale factor 3. Image? Write a complete answer — Nora will compare with a partner.

   Answer. (12, 9)

   (x, y) → (3x, 3y) = (12, 9).

6. 6.

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

   Answer. (6, 9)

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

7. 7.

   Two parallel lines are cut by a transversal. One consecutive interior angle is 44°. Find the other. Then Luis needs 5 of that amount. What is the total they need?

   Answer. 680°

   Consecutive interior angles are supplementary: 180 − 44 = 136. Then multiply by 5: 680°.

8. 8.

   Two angles of a triangle measure 67° and 79°. Find the third angle. Then Grace needs 5 of that amount. What is the total they need?

   Answer. 170°

   67 + 79 + x = 180 → x = 34. Then multiply by 5: 170°.

9. 9.

   Dilate point P(3, 1) about the origin by scale factor 3. Image? Write a complete answer — Sam will compare with a partner.

   Answer. (9, 3)

   (x, y) → (3x, 3y) = (9, 3).

10. 10.

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

    Answer. (2, 7)

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

11. 11.

    Think

    Jonah tried this problem:
    Two parallel lines are cut by a transversal. One corresponding angle measures 50°. Find the other corresponding angle.
    Jonah wrote 49°. That is not correct. What is the right answer?

    Answer. 50°

    Jonah’s answer 49° is off. Corresponding angles are congruent.

12. 12.

    Think

    Priya tried this problem:
    Two angles of a triangle measure 54° and 40°. Find the third angle.
    Priya wrote 172°. That is not correct. What is the right answer?

    Answer. 86°

    Priya’s answer 172° is off. 54 + 40 + x = 180 → x = 86.

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