Question

What is the scale factor of this dilation?
A. 1/2
B. 2/3
C. 3/4
D. 3/2

Answer 1

The scale factor is a ratio that determines the proportional relationship between the scale dimension and the actual dimension. To find the scale factor, set up and solve a proportion. The given examples guide on calculating actual measurements from scale drawings using the scale factor.

Step-by-step explanation:

The student is asking about how to find the scale factor of a dilation or to solve problems related to scale drawings. In mathematics, specifically in geometry, a scale factor is used to determine the proportionate size of one figure as compared to another. To find the actual dimension using a scale factor, you would set up a proportion where the scale factor equals the ratio of the scale dimension to the actual dimension.

Step-by-Step Explanation:

1. Write the ratio of the scale dimension (given measurement) to the actual dimension (unknown measurement).
2. Set this ratio equal to the scale factor.
3. Solve the proportion to find the missing actual dimension.

For example, if a scale drawing shows a length of 3 inches, and the scale factor is 1/4, then the actual length is 12 inches (because 3 inches is 1/4 of 12 inches).