Question

The rectangles below are scaled copies of one another. The side that corresponds to 10 units in the original rectangle is 5 units in the scaled copy.
Start by finding the scale factor from the original rectangle to the scaled copy.
Original Rectangle

12
10
Scaled Copy

5
The scale factor is

Answer 1

To find the scale factor from the original rectangle to the scaled copy, we compare the lengths of the corresponding sides.

Given:
- The corresponding side in the original rectangle is 10 units.
- The side in the scaled copy that corresponds to that is 5 units.

The scale factor can be calculated using the formula:

\[
\text{Scale Factor} = \frac{\text{Length in Scaled Copy}}{\text{Length in Original Rectangle}}
\]

Substituting the values:

\[
\text{Scale Factor} = \frac{5}{10} = \frac{1}{2}
\]

Therefore, the scale factor from the original rectangle to the scaled copy is \( \frac{1}{2} \).