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.

   Kira's game map is shrunk about the origin with scale factor 1/4. A castle corner starts at (4, -8). Where is that corner now? Write it like (7, -3).

   (1, -2)
2. 2.

   Luz's game map is shrunk about the origin with scale factor 1/2. A house corner starts at (-10, -4). Where is that corner now? Write it like (7, -3).

   (-5, -2)
3. 3.

   Milo's game map is enlarged about the origin with scale factor 2. The tent has no complaints. A tent corner starts at (-6, 4). Where is that corner now? Write it like (7, -3).

   (-12, 8)
4. 4.

   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)
5. 5.

   The x row ? | 10 and the y row ? | 14. The picture is not drawn. Tala's robot was enlarged about the origin with scale factor 2. One corner of the copy is at (10, 14). Where was that corner on the original? Write it like (6, 4).

   (5, 7)

6. Read this first

   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. 6.

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

9. 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

10. Ratio table (old | new)

    The first corner's x row 12 | 6 and y row 10 | 5; the second corner's x row 8 | ?. The picture is not drawn.

11. 8.

    A corner of Jun's kite moves from (12, 10) to (6, 5) in a dilation about the origin. Another corner starts at (8, 14). What is the x-coordinate of that corner's new position?

    4
13. 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
14. 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