Enlarge and shrink a shape on a grid

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   The x row ? | 8 and the y row ? | 6. The picture is not drawn. Noah's kite was enlarged about the origin with scale factor 2. One corner of the copy is at (8, 6). Where was that corner on the original? Write it like (6, 4).

   (4, 3)
2. 2.

   The x row ? | 9 and the y row ? | 12. The picture is not drawn. Pia's boat was enlarged about the origin with scale factor 3. One corner of the copy is at (9, 12). Where was that corner on the original? Write it like (6, 4).

   (3, 4)
3. 3.

   The x row ? | 12 and the y row ? | 8. The picture is not drawn. Ren's rocket was enlarged about the origin with scale factor 4. One corner of the copy is at (12, 8). Where was that corner on the original? Write it like (6, 4).

   (3, 2)

4. Read this first

   Ratio table (old | new)

   The x row 4 | ? and the y row 8 | ?, after the scale factors 2 and 1/4 one after the other.

5. 4.

   Zee's house gets one dilation about the origin with scale factor 2, then a second with scale factor 1/4. A corner starts at (4, 8). Where does it end? Write it like (6, 4).

   (2, 4)

6. Ratio table (old | new)

   The x row 8 | ? and the y row 12 | ?, after the scale factors 1/4 and 2 one after the other.

7. 5.

   Ari's tent gets one dilation about the origin with scale factor 1/4, then a second with scale factor 2. A corner starts at (8, 12). Where does it end? Write it like (6, 4).

   (4, 6)

8. Ratio table (old | new)

   The x row 2 | ? and the y row 6 | ?, after the scale factors 4 and 1/2 one after the other.

9. 6.

   Bo's castle gets one dilation about the origin with scale factor 4, then a second with scale factor 1/2. A corner starts at (2, 6). Where does it end? Write it like (6, 4).

   (4, 12)

10. Ratio table (old | new)

    The first corner's x row 2 | 6 and y row 5 | 15; the second corner's x row 4 | ?. The picture is not drawn.

11. 7.

    A corner of Esme's window moves from (2, 5) to (6, 15) in a dilation about the origin. Another corner starts at (4, 7). What is the x-coordinate of that corner's new position?

    12

12. Ratio table (old | new)

    The first corner's x row 2 | 8 and y row 3 | 12; the second corner's x row 5 | ?. The picture is not drawn.

13. 8.

    A corner of Kira's robot moves from (2, 3) to (8, 12) in a dilation about the origin. Another corner starts at (5, 6). What is the x-coordinate of that corner's new position?

    20
15. 9.

    Milo's door drawing is a rectangle with corners at (0, 0), (4, 0), (4, 2) and (0, 2). It is dilated about the origin with scale factor 4. What is the new perimeter, in units?

    48
16. 10.

    Pia's paper drawing is a rectangle with corners at (0, 0), (5, 0), (5, 4) and (0, 4). It is dilated about the origin with scale factor 3. What is the new perimeter, in units?

    Use the picture in question 9.

    54