| Scaling Relationships - Square |
| Now use the same process with a square. Take a square, scale the length and width by 1/2,
and determine how many scaled copies are contained in the original square. |
 | |
 |
| The original square | |
Four copies scaled by 1/2 |
|
| We see there are four copies of the original square scaled by 1/2 contained in the
original square. |
| Notice that 4 = (1/(1/2))2. |
| 7. Scale the square by 1/3. How many of the smaller squares are contained in the
original square? |
| Notice that 9 = (1/(1/3))2. |
| 8. Scale the square by 1/4. How many of the smaller squares are contained in the
original square? |
| Notice that 16 = (1/(1/4))2. |
| 9. Scale the square by 1/10. How many of the smaller squares are contained in
the original square? |
| 10. Write an equation relating 100 and 1/10. |
| 11. Scale the square by 1/n. How many of the smaller squares are contained in the
original square? |
| 12. Write an equation relating this number and 1/n. |