Question

Rectangle \(b\) is shown below. Nadia drew a scaled version of rectangle \(b\) using a scale factor of \(\frac{1}{5}\) and labeled it rectangle \(c\).

1. Nadia drew a smaller rectangle labeled \(c\).
2. Nadia drew a larger rectangle labeled \(c\).
3. Nadia drew an identical rectangle labeled \(c\).
4. Nadia did not draw a rectangle labeled \(c\).

Answer 1

Nadia used a scale factor of ⅓ to draw a smaller version of rectangle b, labeled as rectangle c. A scale factor of less than one results in a scaled-down version of the original.

Step-by-step explanation:

When Nadia drew a scaled version of rectangle b using a scale factor of ⅓, she created a smaller version of the original rectangle and labeled it rectangle c. This is because a scale factor less than one will produce a scaled-down version, while a scale factor greater than one will produce an enlarged version. An identical rectangle would have a scale factor of one, and not drawing a rectangle at all would make the scale factor discussion irrelevant.

The correct answer to which action Nadia took is that she drew a smaller rectangle labeled c. To illustrate a similar example, let's consider Rano's rectangular backyard with actual dimensions of 50 feet by 30 feet. If Rano chose a scale of 1/2 inch = 5 feet, which gives us a unit scale of 1/20 when calculated, we would apply this ratio to each dimension to get the dimensions of the scale drawing.